Least Common Multiple of 15, 19, 76, 984

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 15, 19, 76, 984 i.e. 93480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 19, 76, 984 is 93480.

LCM(15, 19, 76, 984) = 93480

LCM of 15, 19, 76, 984

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

LCM of:

Least Common Multiple of 15,19,76,984

Least Common Multiple (LCM) of 15,19,76,984 is 93480

2 15, 19, 76, 984
2 15, 19, 38, 492
3 15, 19, 19, 246
19 5, 19, 19, 82
5, 1, 1, 82

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 5 x 1 x 1 x 82 = 93480

Least Common Multiple of 15,19,76,984 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 15,19,76,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,19,76,984) = 1

common factors(in case of two or more numbers have common factors) = 228

GCF(15,19,76,984) x common factors =1 x 228 = 228

LCM(15,19,76,984) = ( 15 × 19 × 76 × 984 ) / 228

LCM(15,19,76,984) = 21313440 / 228

LCM(15,19,76,984) = 93480

∴ Least Common Multiple of 15,19,76,984 is 93480

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 15, 19, 76, 984

1. What is the LCM of 15, 19, 76, 984?

Answer: LCM of 15, 19, 76, 984 is 93480.

2. What are the Factors of 93480?

Answer: Factors of 93480 are . There are integers that are factors of 93480

3. How to Find the LCM of 15, 19, 76, 984 ?

Least Common Multiple of 15, 19, 76, 984.

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(15, 19, 76, 984) = 2 x 2 x 2 x 3 x 5 x 19 x 41 = 93480.