LCM of 133 and 147 is equal to 2793. The comprehensive work provides more insight of how to find what is the lcm of 133 and 147 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 133 and 147?
lcm (133 147) = (?)
133 => 7 x 19
147 => 3 x 7 x 7
= 7 x 19 x 3 x 7
= 2793
lcm (133 and 147) = 2793
2793 is the lcm of 133 and 147.
where,
133 is a positive integer,
147 is a positive integer,
2793 is the lcm of 133 and 147,
{7} in {7 x 19, 3 x 7 x 7} is the common factors of 133 and 147,
{19 x 3 x 7} in {7 x 19, 3 x 7 x 7} are the uncommon factors of 133 and 147.
Use in Mathematics: LCM of 133 and 147
The below are some of the mathematical applications where lcm of 133 and 147 can be used:
The below solved example with step by step work shows how to find what is the lcm of 133 and 147 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 133 and 147?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 133
B = 147
What to be found:
find the lcm of 133 and 147
step 2 Find the prime factors of 133 and 147:
Prime factors of 133 = 7 x 19
Prime factors of 147 = 3 x 7 x 7
step 3 Identify the repeated and non-repeated prime factors of 133 and 147:
{7} is the most repeated factor and {19 x 3 x 7} are the non-repeated factors of 133 and 147.
step 4 Find the product of repeated and non-repeated prime factors of 133 and 147:
= 7 x 19 x 3 x 7
= 2793
lcm(133 and 147) = 2793
Hence,
lcm of 133 and 147 is 2793
3 | 133 | 147 |
7 | 133 | 49 |
7 | 19 | 7 |
19 | 19 | 1 |
1 | 1 |