LCM of 14, 28 and 56 is equal to 56. The comprehensive work provides more insight of how to find what is the lcm of 14, 28 and 56 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 14, 28 and 56?
lcm (14 28 56) = (?)
14 => 2 x 7
28 => 2 x 2 x 7
56 => 2 x 2 x 2 x 7
= 2 x 2 x 7 x 2
= 56
lcm (14, 28 and 56) = 56
56 is the lcm of 14, 28 and 56.
where,
14 is a positive integer,
28 is a positive integer,
56 is the lcm of 14, 28 and 56,
{2, 2, 7} in {2 x 7, 2 x 2 x 7, 2 x 2 x 2 x 7} are the most repeated factors of 14, 28 and 56,
{2} in {2 x 7, 2 x 2 x 7, 2 x 2 x 2 x 7} is the other remaining factors of 14, 28 and 56.
Use in Mathematics: LCM of 14, 28 and 56
The below are some of the mathematical applications where lcm of 14, 28 and 56 can be used:
The below solved example with step by step work shows how to find what is the lcm of 14, 28 and 56 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 14, 28 and 56?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 14
B = 28
C = 56
What to be found:
find the lcm of 14, 28 and 56
step 2 Find the prime factors of 14, 28 and 56:
Prime factors of 14 = 2 x 7
Prime factors of 28 = 2 x 2 x 7
Prime factors of 56 = 2 x 2 x 2 x 7
step 3 Identify the repeated and non-repeated prime factors of 14, 28 and 56:
{2, 2, 7} are the most repeated factors and {2} is the non-repeated factors of 14, 28 and 56.
step 4 Find the product of repeated and non-repeated prime factors of 14, 28 and 56:
= 2 x 2 x 7 x 2
= 56
lcm(20 and 30) = 56
Hence,
lcm of 14, 28 and 56 is 56
2 | 14 | 28 | 56 |
2 | 7 | 14 | 28 |
2 | 7 | 7 | 14 |
7 | 7 | 7 | 7 |
1 | 1 | 1 |