LCM of 136 and 187 is equal to 1496. The comprehensive work provides more insight of how to find what is the lcm of 136 and 187 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 136 and 187?
lcm (136 187) = (?)
136 => 2 x 2 x 2 x 17
187 => 11 x 17
= 17 x 2 x 2 x 2 x 11
= 1496
lcm (136 and 187) = 1496
1496 is the lcm of 136 and 187.
where,
136 is a positive integer,
187 is a positive integer,
1496 is the lcm of 136 and 187,
{17} in {2 x 2 x 2 x 17, 11 x 17} is the common factors of 136 and 187,
{2 x 2 x 2 x 11} in {2 x 2 x 2 x 17, 11 x 17} are the uncommon factors of 136 and 187.
Use in Mathematics: LCM of 136 and 187
The below are some of the mathematical applications where lcm of 136 and 187 can be used:
The below solved example with step by step work shows how to find what is the lcm of 136 and 187 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 136 and 187?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 136
B = 187
What to be found:
find the lcm of 136 and 187
step 2 Find the prime factors of 136 and 187:
Prime factors of 136 = 2 x 2 x 2 x 17
Prime factors of 187 = 11 x 17
step 3 Identify the repeated and non-repeated prime factors of 136 and 187:
{17} is the most repeated factor and {2 x 2 x 2 x 11} are the non-repeated factors of 136 and 187.
step 4 Find the product of repeated and non-repeated prime factors of 136 and 187:
= 17 x 2 x 2 x 2 x 11
= 1496
lcm(136 and 187) = 1496
Hence,
lcm of 136 and 187 is 1496
2 | 136 | 187 |
2 | 68 | 187 |
2 | 34 | 187 |
11 | 17 | 187 |
17 | 17 | 17 |
1 | 1 |