LCM of 154 and 198 is equal to 1386. The comprehensive work provides more insight of how to find what is the lcm of 154 and 198 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 154 and 198?
lcm (154 198) = (?)
154 => 2 x 7 x 11
198 => 2 x 3 x 3 x 11
= 2 x 11 x 7 x 3 x 3
= 1386
lcm (154 and 198) = 1386
1386 is the lcm of 154 and 198.
where,
154 is a positive integer,
198 is a positive integer,
1386 is the lcm of 154 and 198,
{2 x 11} in {2 x 7 x 11, 2 x 3 x 3 x 11} are the common factors of 154 and 198,
{7 x 3 x 3} in {2 x 7 x 11, 2 x 3 x 3 x 11} are the uncommon factors of 154 and 198.
Use in Mathematics: LCM of 154 and 198
The below are some of the mathematical applications where lcm of 154 and 198 can be used:
The below solved example with step by step work shows how to find what is the lcm of 154 and 198 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 154 and 198?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 154
B = 198
What to be found:
find the lcm of 154 and 198
step 2 Find the prime factors of 154 and 198:
Prime factors of 154 = 2 x 7 x 11
Prime factors of 198 = 2 x 3 x 3 x 11
step 3 Identify the repeated and non-repeated prime factors of 154 and 198:
{2, 11} are the most repeated factors and {7 x 3 x 3} are the non-repeated factors of 154 and 198.
step 4 Find the product of repeated and non-repeated prime factors of 154 and 198:
= 2 x 11 x 7 x 3 x 3
= 1386
lcm(154 and 198) = 1386
Hence,
lcm of 154 and 198 is 1386
2 | 154 | 198 |
3 | 77 | 99 |
3 | 77 | 33 |
7 | 77 | 11 |
11 | 11 | 11 |
1 | 1 |