Least Common Multiple of 16, 36, 80, 100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 16, 36, 80, 100 i.e. 3600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 16, 36, 80, 100 is 3600.

LCM(16, 36, 80, 100) = 3600

LCM of 16, 36, 80, 100

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 16,36,80,100

Least Common Multiple (LCM) of 16,36,80,100 is 3600

2 16, 36, 80, 100
2 8, 18, 40, 50
2 4, 9, 20, 25
2 2, 9, 10, 25
5 1, 9, 5, 25
1, 9, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 9 x 1 x 5 = 3600

Least Common Multiple of 16,36,80,100 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 16,36,80,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,36,80,100) = 4

common factors(in case of two or more numbers have common factors) = 320

GCF(16,36,80,100) x common factors =4 x 320 = 1280

LCM(16,36,80,100) = ( 16 × 36 × 80 × 100 ) / 1280

LCM(16,36,80,100) = 4608000 / 1280

LCM(16,36,80,100) = 3600

∴ Least Common Multiple of 16,36,80,100 is 3600

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 16, 36, 80, 100

1. What is the LCM of 16, 36, 80, 100?

Answer: LCM of 16, 36, 80, 100 is 3600.

2. What are the Factors of 3600?

Answer: Factors of 3600 are . There are integers that are factors of 3600

3. How to Find the LCM of 16, 36, 80, 100 ?

Least Common Multiple of 16, 36, 80, 100.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(16, 36, 80, 100) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600.