LCM of 129 and 172 is equal to 516. The comprehensive work provides more insight of how to find what is the lcm of 129 and 172 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 129 and 172?
lcm (129 172) = (?)
129 => 3 x 43
172 => 2 x 2 x 43
= 43 x 3 x 2 x 2
= 516
lcm (129 and 172) = 516
516 is the lcm of 129 and 172.
where,
129 is a positive integer,
172 is a positive integer,
516 is the lcm of 129 and 172,
{43} in {3 x 43, 2 x 2 x 43} is the common factors of 129 and 172,
{3 x 2 x 2} in {3 x 43, 2 x 2 x 43} are the uncommon factors of 129 and 172.
Use in Mathematics: LCM of 129 and 172
The below are some of the mathematical applications where lcm of 129 and 172 can be used:
The below solved example with step by step work shows how to find what is the lcm of 129 and 172 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 129 and 172?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 129
B = 172
What to be found:
find the lcm of 129 and 172
step 2 Find the prime factors of 129 and 172:
Prime factors of 129 = 3 x 43
Prime factors of 172 = 2 x 2 x 43
step 3 Identify the repeated and non-repeated prime factors of 129 and 172:
{43} is the most repeated factor and {3 x 2 x 2} are the non-repeated factors of 129 and 172.
step 4 Find the product of repeated and non-repeated prime factors of 129 and 172:
= 43 x 3 x 2 x 2
= 516
lcm(129 and 172) = 516
Hence,
lcm of 129 and 172 is 516
2 | 129 | 172 |
2 | 129 | 86 |
3 | 129 | 43 |
43 | 43 | 43 |
1 | 1 |