LCM of 28, 35 and 56 is equal to 280. The comprehensive work provides more insight of how to find what is the lcm of 28, 35 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 28, 35 and 56?
lcm (28 35 56) = (?)
28 => 2 x 2 x 7
35 => 5 x 7
56 => 2 x 2 x 2 x 7
= 2 x 2 x 7 x 5 x 2
= 280
lcm (28, 35 and 56) = 280
280 is the lcm of 28, 35 and 56.
where,
28 is a positive integer,
35 is a positive integer,
280 is the lcm of 28, 35 and 56,
{2, 2, 7} in {2 x 2 x 7, 5 x 7, 2 x 2 x 2 x 7} are the most repeated factors of 28, 35 and 56,
{5, 2} in {2 x 2 x 7, 5 x 7, 2 x 2 x 2 x 7} are the the other remaining factors of 28, 35 and 56.
Use in Mathematics: LCM of 28, 35 and 56
The below are some of the mathematical applications where lcm of 28, 35 and 56 can be used:
The below solved example with step by step work shows how to find what is the lcm of 28, 35 and 56 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 28, 35 and 56?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 28
B = 35
C = 56
What to be found:
find the lcm of 28, 35 and 56
step 2 Find the prime factors of 28, 35 and 56:
Prime factors of 28 = 2 x 2 x 7
Prime factors of 35 = 5 x 7
Prime factors of 56 = 2 x 2 x 2 x 7
step 3 Identify the repeated and non-repeated prime factors of 28, 35 and 56:
{2, 2, 7} are the most repeated factors and {5, 2} are the non-repeated factors of 28, 35 and 56.
step 4 Find the product of repeated and non-repeated prime factors of 28, 35 and 56:
= 2 x 2 x 7 x 5 x 2
= 280
lcm(20 and 30) = 280
Hence,
lcm of 28, 35 and 56 is 280
2 | 28 | 35 | 56 |
2 | 14 | 35 | 28 |
2 | 7 | 35 | 14 |
5 | 7 | 35 | 7 |
7 | 7 | 7 | 7 |
1 | 1 | 1 |