Least Common Multiple of 400, 300, 800, 442

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, 300, 800, 442 i.e. 530400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 400, 300, 800, 442 is 530400.

LCM(400, 300, 800, 442) = 530400

LCM of 400, 300, 800, 442

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

LCM of:

Least Common Multiple of 400,300,800,442

Least Common Multiple (LCM) of 400,300,800,442 is 530400

2 400, 300, 800, 442
2 200, 150, 400, 221
2 100, 75, 200, 221
2 50, 75, 100, 221
5 25, 75, 50, 221
5 5, 15, 10, 221
1, 3, 2, 221

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 x 1 x 3 x 2 x 221 = 530400

Least Common Multiple of 400,300,800,442 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 400,300,800,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,300,800,442) = 2

common factors(in case of two or more numbers have common factors) = 40000

GCF(400,300,800,442) x common factors =2 x 40000 = 80000

LCM(400,300,800,442) = ( 400 × 300 × 800 × 442 ) / 80000

LCM(400,300,800,442) = 42432000000 / 80000

LCM(400,300,800,442) = 530400

∴ Least Common Multiple of 400,300,800,442 is 530400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 400, 300, 800, 442

1. What is the LCM of 400, 300, 800, 442?

Answer: LCM of 400, 300, 800, 442 is 530400.

2. What are the Factors of 530400?

Answer: Factors of 530400 are . There are integers that are factors of 530400

3. How to Find the LCM of 400, 300, 800, 442 ?

Least Common Multiple of 400, 300, 800, 442.

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, 300, 800, 442) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 17 = 530400.