Least Common Multiple of 390, 1188

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, 1188 i.e. 77220 smallest integer divisible by all numbers.

Least common multiple (LCM) of 390, 1188 is 77220.

LCM(390, 1188) = 77220

LCM of 390, 1188

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

LCM of:

Least Common Multiple of 390,1188

Least Common Multiple (LCM) of 390,1188 is 77220

2 390, 1188
3 195, 594
65, 198

∴ So the LCM of the given numbers is 2 x 3 x 65 x 198 = 77220

Least Common Multiple of 390,1188 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 390,1188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,1188) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(390,1188) x common factors =6 x 1 = 6

LCM(390,1188) = ( 390 × 1188 ) / 6

LCM(390,1188) = 463320 / 6

LCM(390,1188) = 77220

∴ Least Common Multiple of 390,1188 is 77220

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 390, 1188

1. What is the LCM of 390, 1188?

Answer: LCM of 390, 1188 is 77220.

2. What are the Factors of 77220?

Answer: Factors of 77220 are . There are integers that are factors of 77220

3. How to Find the LCM of 390, 1188 ?

Least Common Multiple of 390, 1188.

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, 1188) = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 13 = 77220.