LCM of 72 and 126 is equal to 504. The comprehensive work provides more insight of how to find what is the lcm of 72 and 126 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 72 and 126?
lcm (72 126) = (?)
72 => 2 x 2 x 2 x 3 x 3
126 => 2 x 3 x 3 x 7
= 2 x 3 x 3 x 2 x 2 x 7
= 504
lcm (72 and 126) = 504
504 is the lcm of 72 and 126.
where,
72 is a positive integer,
126 is a positive integer,
504 is the lcm of 72 and 126,
{2 x 3 x 3} in {2 x 2 x 2 x 3 x 3, 2 x 3 x 3 x 7} are the common factors of 72 and 126,
{2 x 2 x 7} in {2 x 2 x 2 x 3 x 3, 2 x 3 x 3 x 7} are the uncommon factors of 72 and 126.
Use in Mathematics: LCM of 72 and 126
The below are some of the mathematical applications where lcm of 72 and 126 can be used:
The below solved example with step by step work shows how to find what is the lcm of 72 and 126 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 72 and 126?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 72
B = 126
What to be found:
find the lcm of 72 and 126
step 2 Find the prime factors of 72 and 126:
Prime factors of 72 = 2 x 2 x 2 x 3 x 3
Prime factors of 126 = 2 x 3 x 3 x 7
step 3 Identify the repeated and non-repeated prime factors of 72 and 126:
{2, 3, 3} are the most repeated factors and {2 x 2 x 7} are the non-repeated factors of 72 and 126.
step 4 Find the product of repeated and non-repeated prime factors of 72 and 126:
= 2 x 3 x 3 x 2 x 2 x 7
= 504
lcm(72 and 126) = 504
Hence,
lcm of 72 and 126 is 504
2 | 72 | 126 |
2 | 36 | 63 |
2 | 18 | 63 |
3 | 9 | 63 |
3 | 3 | 21 |
7 | 1 | 7 |
1 | 1 |