Least Common Multiple of 984, 490, 600

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 984, 490, 600 i.e. 1205400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 984, 490, 600 is 1205400.

LCM(984, 490, 600) = 1205400

LCM of 984, 490, 600

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

LCM of:

Least Common Multiple of 984,490,600

Least Common Multiple (LCM) of 984,490,600 is 1205400

2 984, 490, 600
2 492, 245, 300
2 246, 245, 150
3 123, 245, 75
5 41, 245, 25
41, 49, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 41 x 49 x 5 = 1205400

Least Common Multiple of 984,490,600 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 984,490,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,490,600) = 2

common factors(in case of two or more numbers have common factors) = 120

GCF(984,490,600) x common factors =2 x 120 = 240

LCM(984,490,600) = ( 984 × 490 × 600 ) / 240

LCM(984,490,600) = 289296000 / 240

LCM(984,490,600) = 1205400

∴ Least Common Multiple of 984,490,600 is 1205400

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 984, 490, 600

1. What is the LCM of 984, 490, 600?

Answer: LCM of 984, 490, 600 is 1205400.

2. What are the Factors of 1205400?

Answer: Factors of 1205400 are . There are integers that are factors of 1205400

3. How to Find the LCM of 984, 490, 600 ?

Least Common Multiple of 984, 490, 600.

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(984, 490, 600) = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 7 x 41 = 1205400.