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