LCM of 2, 6 and 7 is equal to 42. The comprehensive work provides more insight of how to find what is the lcm of 2, 6 and 7 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 2, 6 and 7?
lcm (2 6 7) = (?)
2 => 2
6 => 2 x 3
7 => 7
= 2 x 3 x 7
= 42
lcm (2, 6 and 7) = 42
42 is the lcm of 2, 6 and 7.
where,
2 is a positive integer,
6 is a positive integer,
42 is the lcm of 2, 6 and 7,
{2} in {2, 2 x 3, 7} is the most repeated factors of 2, 6 and 7,
{3, 7} in {2, 2 x 3, 7} are the the other remaining factors of 2, 6 and 7.
Use in Mathematics: LCM of 2, 6 and 7
The below are some of the mathematical applications where lcm of 2, 6 and 7 can be used:
The below solved example with step by step work shows how to find what is the lcm of 2, 6 and 7 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 2, 6 and 7?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 2
B = 6
C = 7
What to be found:
find the lcm of 2, 6 and 7
step 2 Find the prime factors of 2, 6 and 7:
Prime factors of 2 = 2
Prime factors of 6 = 2 x 3
Prime factors of 7 = 7
step 3 Identify the repeated and non-repeated prime factors of 2, 6 and 7:
{2} is the most repeated factor and {3, 7} are the non-repeated factors of 2, 6 and 7.
step 4 Find the product of repeated and non-repeated prime factors of 2, 6 and 7:
= 2 x 3 x 7
= 42
lcm(20 and 30) = 42
Hence,
lcm of 2, 6 and 7 is 42
2 | 2 | 6 | 7 |
3 | 1 | 3 | 7 |
7 | 1 | 1 | 7 |
1 | 1 | 1 |