LCM of 4, 5 and 6 is equal to 60. The comprehensive work provides more insight of how to find what is the lcm of 4, 5 and 6 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 4, 5 and 6?
lcm (4 5 6) = (?)
4 => 2 x 2
5 => 5
6 => 2 x 3
= 2 x 2 x 5 x 3
= 60
lcm (4, 5 and 6) = 60
60 is the lcm of 4, 5 and 6.
where,
4 is a positive integer,
5 is a positive integer,
60 is the lcm of 4, 5 and 6,
{2} in {2 x 2, 5, 2 x 3} is the most repeated factors of 4, 5 and 6,
{2, 5, 3} in {2 x 2, 5, 2 x 3} are the the other remaining factors of 4, 5 and 6.
Use in Mathematics: LCM of 4, 5 and 6
The below are some of the mathematical applications where lcm of 4, 5 and 6 can be used:
The below solved example with step by step work shows how to find what is the lcm of 4, 5 and 6 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 4, 5 and 6?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 4
B = 5
C = 6
What to be found:
find the lcm of 4, 5 and 6
step 2 Find the prime factors of 4, 5 and 6:
Prime factors of 4 = 2 x 2
Prime factors of 5 = 5
Prime factors of 6 = 2 x 3
step 3 Identify the repeated and non-repeated prime factors of 4, 5 and 6:
{2} is the most repeated factor and {2, 5, 3} are the non-repeated factors of 4, 5 and 6.
step 4 Find the product of repeated and non-repeated prime factors of 4, 5 and 6:
= 2 x 2 x 5 x 3
= 60
lcm(20 and 30) = 60
Hence,
lcm of 4, 5 and 6 is 60
2 | 4 | 5 | 6 |
2 | 2 | 5 | 3 |
3 | 1 | 5 | 3 |
5 | 1 | 5 | 1 |
1 | 1 | 1 |