Least Common Multiple of 800, 400, 700, 432

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 800, 400, 700, 432 i.e. 151200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 800, 400, 700, 432 is 151200.

LCM(800, 400, 700, 432) = 151200

LCM of 800, 400, 700, 432

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

LCM of:

Least Common Multiple of 800,400,700,432

Least Common Multiple (LCM) of 800,400,700,432 is 151200

2 800, 400, 700, 432
2 400, 200, 350, 216
2 100, 200, 175, 108
2 50, 100, 175, 54
5 25, 50, 175, 27
5 5, 10, 35, 27
1, 2, 7, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 x 1 x 2 x 7 x 27 = 151200

Least Common Multiple of 800,400,700,432 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 800,400,700,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,400,700,432) = 4

common factors(in case of two or more numbers have common factors) = 160000

GCF(800,400,700,432) x common factors =4 x 160000 = 640000

LCM(800,400,700,432) = ( 800 × 400 × 700 × 432 ) / 640000

LCM(800,400,700,432) = 96768000000 / 640000

LCM(800,400,700,432) = 151200

∴ Least Common Multiple of 800,400,700,432 is 151200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 800, 400, 700, 432

1. What is the LCM of 800, 400, 700, 432?

Answer: LCM of 800, 400, 700, 432 is 151200.

2. What are the Factors of 151200?

Answer: Factors of 151200 are . There are integers that are factors of 151200

3. How to Find the LCM of 800, 400, 700, 432 ?

Least Common Multiple of 800, 400, 700, 432.

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(800, 400, 700, 432) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 = 151200.