Least Common Multiple of 67, 24, 72, 800

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 67, 24, 72, 800 i.e. 482400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 67, 24, 72, 800 is 482400.

LCM(67, 24, 72, 800) = 482400

LCM of 67, 24, 72, 800

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

LCM of:

Least Common Multiple of 67,24,72,800

Least Common Multiple (LCM) of 67,24,72,800 is 482400

2 67, 24, 72, 800
2 67, 12, 36, 400
2 67, 6, 18, 200
3 67, 3, 9, 100
67, 1, 3, 100

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 67 x 1 x 3 x 100 = 482400

Least Common Multiple of 67,24,72,800 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 67,24,72,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,24,72,800) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(67,24,72,800) x common factors =1 x 192 = 192

LCM(67,24,72,800) = ( 67 × 24 × 72 × 800 ) / 192

LCM(67,24,72,800) = 92620800 / 192

LCM(67,24,72,800) = 482400

∴ Least Common Multiple of 67,24,72,800 is 482400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 67, 24, 72, 800

1. What is the LCM of 67, 24, 72, 800?

Answer: LCM of 67, 24, 72, 800 is 482400.

2. What are the Factors of 482400?

Answer: Factors of 482400 are . There are integers that are factors of 482400

3. How to Find the LCM of 67, 24, 72, 800 ?

Least Common Multiple of 67, 24, 72, 800.

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(67, 24, 72, 800) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 67 = 482400.