Introduction to LCM prime factorization:
Prime factorization is defined as the two factors of number is must be a prime number.
For example:
The prime factorization of the number x is y and z. Then the factors of the number y and z.
Y must be 1 and y similarly the factor of the number z must one and z. In this article we shall discuss about LCM prime factorization with suitable example problems
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Example Problem for Lcm Prime Factorization:
LCM prime factorization problem: 1
find the LCM prime factorization for 24, 12.
solution:
Given that 24 and 12. Find the Factors of two numbers individually
Take the 24 and divide through small number.
`24 / 2` = 12
`12 / 2 ` = 6
`6 / 2` = 3
`3 / 3` = 1
24 = 2 * 2 * 2 * 3
`12 / 2` = 6
`6 / 2` = 3
`3 / 3` = 1
12 = 2 x 2 x 3
prime factorization of 24 = 2 x 2 x 2 x 3
prime factorization of 12 = 2 x 2 x 3
LCM of two numner 12 , 24 is 24.
So the LCM prime factorization of 24 and 12 is 2 x 2 x 2 x 3 = 24 .
LCM prime factorization problem: 2
find the LCM prime factorization for45 , 25.
solution:
Given that 45 and 25. Find the Factors of two numbers individually
Take the 45 and divide into small number.
`45 / 3` = 15
`15 / 3` = 5
`5 / 5 ` = 1
45 = 3 x 3 x 5
`25 / 5` = 5
`5 / 5 ` = 1
25 = 5 x 5
prime factorization of 45 = 3 x 3 x 5
prime factorization of 25 = 5 x 5.
LCM of 45, 25 = 225
So LCM prime factorization of 45 and 25 is 3 x 3 x 5 x 5 = 225
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Example Problem for Lcm Prime Factorization:
Find the LCM prime factorization for 54, 50
solution:
Given that 54, 50. Find the Factors of two numbers individually
Take the 54 and divide throughout small number.
`54 / 2` = 27
`27 / 3` = 9
`9 / 3` = 3
`3 / 3` = 1
54 = 2 * 3 * 3 * 3
`50 / 2` = 25
`25 / 5` = 5
`5 / 5` = 1
50 = 2 x 5 x 5
prime factorization of 54 = 2 x 3 x 3 x 3
prime factorization of 50 = 2 x 5 x5
LCm of 54 and 50 = 1350
So LCM prime factorization of 54 and 50 is 2 x 3 x 3 x 3 x 5 x 5 = 1350
Example 4:
find the LCM prime factorization for 96, 18
solution:
Given that 96, 18. Find the Factors of two numbers individually
Take the 96 and divide through small number
`96 / 2` = 48
`48 / 2` = 24
`24 / 2` =12
`12 / 2` = 6
`6 / 2` = 3
`3 / 3 ` = 1
96 = 2 * 2 * 2 * 2 * 2 * 3
`18 / 2` = 9
`9 / 3` = 3
`3 / 3` = 1
18 = 2 x 3 x 3
prime factorization of 96 = 2 x 2 x 2 x 2 x 2 x 3
prime factorization of 18 = 2 x 3 x 3
LCM of 96 and 18 = 268
So LCM prime factorization of 96 and 18 is 2 x 2 x 2 x 2 x 2 x 3 x 3= 288
Prime factorization is defined as the two factors of number is must be a prime number.
For example:
The prime factorization of the number x is y and z. Then the factors of the number y and z.
Y must be 1 and y similarly the factor of the number z must one and z. In this article we shall discuss about LCM prime factorization with suitable example problems
I like to share this What is LCM with you all through my article.
Example Problem for Lcm Prime Factorization:
LCM prime factorization problem: 1
find the LCM prime factorization for 24, 12.
solution:
Given that 24 and 12. Find the Factors of two numbers individually
Take the 24 and divide through small number.
`24 / 2` = 12
`12 / 2 ` = 6
`6 / 2` = 3
`3 / 3` = 1
24 = 2 * 2 * 2 * 3
`12 / 2` = 6
`6 / 2` = 3
`3 / 3` = 1
12 = 2 x 2 x 3
prime factorization of 24 = 2 x 2 x 2 x 3
prime factorization of 12 = 2 x 2 x 3
LCM of two numner 12 , 24 is 24.
So the LCM prime factorization of 24 and 12 is 2 x 2 x 2 x 3 = 24 .
LCM prime factorization problem: 2
find the LCM prime factorization for45 , 25.
solution:
Given that 45 and 25. Find the Factors of two numbers individually
Take the 45 and divide into small number.
`45 / 3` = 15
`15 / 3` = 5
`5 / 5 ` = 1
45 = 3 x 3 x 5
`25 / 5` = 5
`5 / 5 ` = 1
25 = 5 x 5
prime factorization of 45 = 3 x 3 x 5
prime factorization of 25 = 5 x 5.
LCM of 45, 25 = 225
So LCM prime factorization of 45 and 25 is 3 x 3 x 5 x 5 = 225
Please express your views of this topic prime factorization factor tree by commenting on blog.
Example Problem for Lcm Prime Factorization:
Find the LCM prime factorization for 54, 50
solution:
Given that 54, 50. Find the Factors of two numbers individually
Take the 54 and divide throughout small number.
`54 / 2` = 27
`27 / 3` = 9
`9 / 3` = 3
`3 / 3` = 1
54 = 2 * 3 * 3 * 3
`50 / 2` = 25
`25 / 5` = 5
`5 / 5` = 1
50 = 2 x 5 x 5
prime factorization of 54 = 2 x 3 x 3 x 3
prime factorization of 50 = 2 x 5 x5
LCm of 54 and 50 = 1350
So LCM prime factorization of 54 and 50 is 2 x 3 x 3 x 3 x 5 x 5 = 1350
Example 4:
find the LCM prime factorization for 96, 18
solution:
Given that 96, 18. Find the Factors of two numbers individually
Take the 96 and divide through small number
`96 / 2` = 48
`48 / 2` = 24
`24 / 2` =12
`12 / 2` = 6
`6 / 2` = 3
`3 / 3 ` = 1
96 = 2 * 2 * 2 * 2 * 2 * 3
`18 / 2` = 9
`9 / 3` = 3
`3 / 3` = 1
18 = 2 x 3 x 3
prime factorization of 96 = 2 x 2 x 2 x 2 x 2 x 3
prime factorization of 18 = 2 x 3 x 3
LCM of 96 and 18 = 268
So LCM prime factorization of 96 and 18 is 2 x 2 x 2 x 2 x 2 x 3 x 3= 288
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