Least Common Multiple of 400, 1000, 700, 182

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, 1000, 700, 182 i.e. 182000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 400, 1000, 700, 182 is 182000.

LCM(400, 1000, 700, 182) = 182000

LCM of 400, 1000, 700, 182

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

LCM of:

Least Common Multiple of 400,1000,700,182

Least Common Multiple (LCM) of 400,1000,700,182 is 182000

2 400, 1000, 700, 182
2 200, 500, 350, 91
2 100, 250, 175, 91
5 50, 125, 175, 91
5 10, 25, 35, 91
7 2, 5, 7, 91
2, 5, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 7 x 2 x 5 x 1 x 13 = 182000

Least Common Multiple of 400,1000,700,182 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 400,1000,700,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,1000,700,182) = 2

common factors(in case of two or more numbers have common factors) = 140000

GCF(400,1000,700,182) x common factors =2 x 140000 = 280000

LCM(400,1000,700,182) = ( 400 × 1000 × 700 × 182 ) / 280000

LCM(400,1000,700,182) = 50960000000 / 280000

LCM(400,1000,700,182) = 182000

∴ Least Common Multiple of 400,1000,700,182 is 182000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 400, 1000, 700, 182

1. What is the LCM of 400, 1000, 700, 182?

Answer: LCM of 400, 1000, 700, 182 is 182000.

2. What are the Factors of 182000?

Answer: Factors of 182000 are . There are integers that are factors of 182000

3. How to Find the LCM of 400, 1000, 700, 182 ?

Least Common Multiple of 400, 1000, 700, 182.

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, 1000, 700, 182) = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 13 = 182000.