Least Common Multiple of 400, 200, 300, 47

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 400, 200, 300, 47 i.e. 56400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 400, 200, 300, 47 is 56400.

LCM(400, 200, 300, 47) = 56400

LCM of 400, 200, 300, 47

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

LCM of:

Least Common Multiple of 400,200,300,47

Least Common Multiple (LCM) of 400,200,300,47 is 56400

2 400, 200, 300, 47
2 200, 100, 150, 47
2 50, 100, 75, 47
5 25, 50, 75, 47
5 5, 10, 15, 47
1, 2, 3, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 1 x 2 x 3 x 47 = 56400

Least Common Multiple of 400,200,300,47 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 400,200,300,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,200,300,47) = 1

common factors(in case of two or more numbers have common factors) = 20000

GCF(400,200,300,47) x common factors =1 x 20000 = 20000

LCM(400,200,300,47) = ( 400 × 200 × 300 × 47 ) / 20000

LCM(400,200,300,47) = 1128000000 / 20000

LCM(400,200,300,47) = 56400

∴ Least Common Multiple of 400,200,300,47 is 56400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 400, 200, 300, 47

1. What is the LCM of 400, 200, 300, 47?

Answer: LCM of 400, 200, 300, 47 is 56400.

2. What are the Factors of 56400?

Answer: Factors of 56400 are . There are integers that are factors of 56400

3. How to Find the LCM of 400, 200, 300, 47 ?

Least Common Multiple of 400, 200, 300, 47.

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(400, 200, 300, 47) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 47 = 56400.