LCM of 6, 10 and 28 is equal to 420. The comprehensive work provides more insight of how to find what is the lcm of 6, 10 and 28 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, 10 and 28?
lcm (6 10 28) = (?)
6 => 2 x 3
10 => 2 x 5
28 => 2 x 2 x 7
= 2 x 3 x 5 x 2 x 7
= 420
lcm (6, 10 and 28) = 420
420 is the lcm of 6, 10 and 28.
where,
6 is a positive integer,
10 is a positive integer,
420 is the lcm of 6, 10 and 28,
{2} in {2 x 3, 2 x 5, 2 x 2 x 7} is the most repeated factors of 6, 10 and 28,
{3, 5, 2, 7} in {2 x 3, 2 x 5, 2 x 2 x 7} are the the other remaining factors of 6, 10 and 28.
Use in Mathematics: LCM of 6, 10 and 28
The below are some of the mathematical applications where lcm of 6, 10 and 28 can be used:
The below solved example with step by step work shows how to find what is the lcm of 6, 10 and 28 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 6, 10 and 28?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 6
B = 10
C = 28
What to be found:
find the lcm of 6, 10 and 28
step 2 Find the prime factors of 6, 10 and 28:
Prime factors of 6 = 2 x 3
Prime factors of 10 = 2 x 5
Prime factors of 28 = 2 x 2 x 7
step 3 Identify the repeated and non-repeated prime factors of 6, 10 and 28:
{2} is the most repeated factor and {3, 5, 2, 7} are the non-repeated factors of 6, 10 and 28.
step 4 Find the product of repeated and non-repeated prime factors of 6, 10 and 28:
= 2 x 3 x 5 x 2 x 7
= 420
lcm(20 and 30) = 420
Hence,
lcm of 6, 10 and 28 is 420
2 | 6 | 10 | 28 |
2 | 3 | 5 | 14 |
3 | 3 | 5 | 7 |
5 | 1 | 5 | 7 |
7 | 1 | 1 | 7 |
1 | 1 | 1 |