Least Common Multiple of 390, 12, 214

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, 12, 214 i.e. 83460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 390, 12, 214 is 83460.

LCM(390, 12, 214) = 83460

LCM of 390, 12, 214

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

LCM of:

Least Common Multiple of 390,12,214

Least Common Multiple (LCM) of 390,12,214 is 83460

2 390, 12, 214
3 195, 6, 107
65, 2, 107

∴ So the LCM of the given numbers is 2 x 3 x 65 x 2 x 107 = 83460

Least Common Multiple of 390,12,214 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 390,12,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,12,214) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(390,12,214) x common factors =2 x 6 = 12

LCM(390,12,214) = ( 390 × 12 × 214 ) / 12

LCM(390,12,214) = 1001520 / 12

LCM(390,12,214) = 83460

∴ Least Common Multiple of 390,12,214 is 83460

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 390, 12, 214

1. What is the LCM of 390, 12, 214?

Answer: LCM of 390, 12, 214 is 83460.

2. What are the Factors of 83460?

Answer: Factors of 83460 are . There are integers that are factors of 83460

3. How to Find the LCM of 390, 12, 214 ?

Least Common Multiple of 390, 12, 214.

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, 12, 214) = 2 x 2 x 3 x 5 x 13 x 107 = 83460.