Least Common Multiple of 390, 512, 416

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 390, 512, 416 i.e. 99840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 390, 512, 416 is 99840.

LCM(390, 512, 416) = 99840

LCM of 390, 512, 416

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

LCM of:

Least Common Multiple of 390,512,416

Least Common Multiple (LCM) of 390,512,416 is 99840

2 390, 512, 416
2 195, 256, 208
2 195, 128, 104
2 195, 64, 52
2 195, 32, 26
13 195, 16, 13
15, 16, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 x 15 x 16 x 1 = 99840

Least Common Multiple of 390,512,416 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 390,512,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,512,416) = 2

common factors(in case of two or more numbers have common factors) = 416

GCF(390,512,416) x common factors =2 x 416 = 832

LCM(390,512,416) = ( 390 × 512 × 416 ) / 832

LCM(390,512,416) = 83066880 / 832

LCM(390,512,416) = 99840

∴ Least Common Multiple of 390,512,416 is 99840

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 390, 512, 416

1. What is the LCM of 390, 512, 416?

Answer: LCM of 390, 512, 416 is 99840.

2. What are the Factors of 99840?

Answer: Factors of 99840 are . There are integers that are factors of 99840

3. How to Find the LCM of 390, 512, 416 ?

Least Common Multiple of 390, 512, 416.

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(390, 512, 416) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 = 99840.