Least Common Multiple of 984, 410, 915

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, 410, 915 i.e. 300120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 984, 410, 915 is 300120.

LCM(984, 410, 915) = 300120

LCM of 984, 410, 915

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

LCM of:

Least Common Multiple of 984,410,915

Least Common Multiple (LCM) of 984,410,915 is 300120

2 984, 410, 915
3 492, 205, 915
5 164, 205, 305
41 164, 41, 61
4, 1, 61

∴ So the LCM of the given numbers is 2 x 3 x 5 x 41 x 4 x 1 x 61 = 300120

Least Common Multiple of 984,410,915 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 984,410,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,410,915) = 1

common factors(in case of two or more numbers have common factors) = 1230

GCF(984,410,915) x common factors =1 x 1230 = 1230

LCM(984,410,915) = ( 984 × 410 × 915 ) / 1230

LCM(984,410,915) = 369147600 / 1230

LCM(984,410,915) = 300120

∴ Least Common Multiple of 984,410,915 is 300120

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, 410, 915

1. What is the LCM of 984, 410, 915?

Answer: LCM of 984, 410, 915 is 300120.

2. What are the Factors of 300120?

Answer: Factors of 300120 are . There are integers that are factors of 300120

3. How to Find the LCM of 984, 410, 915 ?

Least Common Multiple of 984, 410, 915.

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, 410, 915) = 2 x 2 x 2 x 3 x 5 x 41 x 61 = 300120.