Least Common Multiple of 16, 25, 24, 6, 75

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, 25, 24, 6, 75 i.e. 1200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 16, 25, 24, 6, 75 is 1200.

LCM(16, 25, 24, 6, 75) = 1200

LCM of 16, 25, 24, 6, 75

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

LCM of:

Least Common Multiple of 16,25,24,6,75

Least Common Multiple (LCM) of 16,25,24,6,75 is 1200

2 16, 25, 24, 6, 75
2 8, 25, 12, 3, 75
2 4, 25, 6, 3, 75
3 2, 25, 3, 3, 75
5 2, 25, 1, 1, 25
5 2, 5, 1, 1, 5
2, 1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 5 x 2 x 1 x 1 x 1 x 1 = 1200

Least Common Multiple of 16,25,24,6,75 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 16,25,24,6,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,25,24,6,75) = 1

common factors(in case of two or more numbers have common factors) = 3600

GCF(16,25,24,6,75) x common factors =1 x 3600 = 3600

LCM(16,25,24,6,75) = ( 16 × 25 × 24 × 6 × 75 ) / 3600

LCM(16,25,24,6,75) = 4320000 / 3600

LCM(16,25,24,6,75) = 1200

∴ Least Common Multiple of 16,25,24,6,75 is 1200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 16, 25, 24, 6, 75

1. What is the LCM of 16, 25, 24, 6, 75?

Answer: LCM of 16, 25, 24, 6, 75 is 1200.

2. What are the Factors of 1200?

Answer: Factors of 1200 are . There are integers that are factors of 1200

3. How to Find the LCM of 16, 25, 24, 6, 75 ?

Least Common Multiple of 16, 25, 24, 6, 75.

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, 25, 24, 6, 75) = 2 x 2 x 2 x 2 x 3 x 5 x 5 = 1200.