LCM of 120 and 160 is equal to 480. The comprehensive work provides more insight of how to find what is the lcm of 120 and 160 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 120 and 160?
lcm (120 160) = (?)
120 => 2 x 2 x 2 x 3 x 5
160 => 2 x 2 x 2 x 2 x 2 x 5
= 2 x 2 x 2 x 5 x 3 x 2 x 2
= 480
lcm (120 and 160) = 480
480 is the lcm of 120 and 160.
where,
120 is a positive integer,
160 is a positive integer,
480 is the lcm of 120 and 160,
{2 x 2 x 2 x 5} in {2 x 2 x 2 x 3 x 5, 2 x 2 x 2 x 2 x 2 x 5} are the common factors of 120 and 160,
{3 x 2 x 2} in {2 x 2 x 2 x 3 x 5, 2 x 2 x 2 x 2 x 2 x 5} are the uncommon factors of 120 and 160.
Use in Mathematics: LCM of 120 and 160
The below are some of the mathematical applications where lcm of 120 and 160 can be used:
The below solved example with step by step work shows how to find what is the lcm of 120 and 160 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 120 and 160?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 120
B = 160
What to be found:
find the lcm of 120 and 160
step 2 Find the prime factors of 120 and 160:
Prime factors of 120 = 2 x 2 x 2 x 3 x 5
Prime factors of 160 = 2 x 2 x 2 x 2 x 2 x 5
step 3 Identify the repeated and non-repeated prime factors of 120 and 160:
{2, 2, 2, 5} are the most repeated factors and {3 x 2 x 2} are the non-repeated factors of 120 and 160.
step 4 Find the product of repeated and non-repeated prime factors of 120 and 160:
= 2 x 2 x 2 x 5 x 3 x 2 x 2
= 480
lcm(120 and 160) = 480
Hence,
lcm of 120 and 160 is 480
2 | 120 | 160 |
2 | 60 | 80 |
2 | 30 | 40 |
2 | 15 | 20 |
2 | 15 | 10 |
3 | 15 | 5 |
5 | 5 | 5 |
1 | 1 |