LCM of 156 and 200 is equal to 7800. The comprehensive work provides more insight of how to find what is the lcm of 156 and 200 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 156 and 200?
lcm (156 200) = (?)
156 => 2 x 2 x 3 x 13
200 => 2 x 2 x 2 x 5 x 5
= 2 x 2 x 3 x 13 x 2 x 5 x 5
= 7800
lcm (156 and 200) = 7800
7800 is the lcm of 156 and 200.
where,
156 is a positive integer,
200 is a positive integer,
7800 is the lcm of 156 and 200,
{2 x 2} in {2 x 2 x 3 x 13, 2 x 2 x 2 x 5 x 5} are the common factors of 156 and 200,
{3 x 13 x 2 x 5 x 5} in {2 x 2 x 3 x 13, 2 x 2 x 2 x 5 x 5} are the uncommon factors of 156 and 200.
Use in Mathematics: LCM of 156 and 200
The below are some of the mathematical applications where lcm of 156 and 200 can be used:
The below solved example with step by step work shows how to find what is the lcm of 156 and 200 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 156 and 200?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 156
B = 200
What to be found:
find the lcm of 156 and 200
step 2 Find the prime factors of 156 and 200:
Prime factors of 156 = 2 x 2 x 3 x 13
Prime factors of 200 = 2 x 2 x 2 x 5 x 5
step 3 Identify the repeated and non-repeated prime factors of 156 and 200:
{2, 2} are the most repeated factors and {3 x 13 x 2 x 5 x 5} are the non-repeated factors of 156 and 200.
step 4 Find the product of repeated and non-repeated prime factors of 156 and 200:
= 2 x 2 x 3 x 13 x 2 x 5 x 5
= 7800
lcm(156 and 200) = 7800
Hence,
lcm of 156 and 200 is 7800
2 | 156 | 200 |
2 | 78 | 100 |
2 | 39 | 50 |
3 | 39 | 25 |
5 | 13 | 25 |
5 | 13 | 5 |
13 | 13 | 1 |
1 | 1 |