LCM of 6 and 63 is equal to 126. The comprehensive work provides more insight of how to find what is the lcm of 6 and 63 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 6 and 63?
lcm (6 63) = (?)
6 => 2 x 3
63 => 3 x 3 x 7
= 3 x 2 x 3 x 7
= 126
lcm (6 and 63) = 126
126 is the lcm of 6 and 63.
where,
6 is a positive integer,
63 is a positive integer,
126 is the lcm of 6 and 63,
{3} in {2 x 3, 3 x 3 x 7} is the common factors of 6 and 63,
{2 x 3 x 7} in {2 x 3, 3 x 3 x 7} are the uncommon factors of 6 and 63.
Use in Mathematics: LCM of 6 and 63
The below are some of the mathematical applications where lcm of 6 and 63 can be used:
The below solved example with step by step work shows how to find what is the lcm of 6 and 63 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 6 and 63?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 6
B = 63
What to be found:
find the lcm of 6 and 63
step 2 Find the prime factors of 6 and 63:
Prime factors of 6 = 2 x 3
Prime factors of 63 = 3 x 3 x 7
step 3 Identify the repeated and non-repeated prime factors of 6 and 63:
{3} is the most repeated factor and {2 x 3 x 7} are the non-repeated factors of 6 and 63.
step 4 Find the product of repeated and non-repeated prime factors of 6 and 63:
= 3 x 2 x 3 x 7
= 126
lcm(6 and 63) = 126
Hence,
lcm of 6 and 63 is 126
2 | 6 | 63 |
3 | 3 | 63 |
3 | 1 | 21 |
7 | 1 | 7 |
1 | 1 |