Least Common Multiple of 390, 977, 342

Q: How to Find the LCM of 390, 977, 342 ?

Least Common Multiple of 390, 977, 342 = 21718710 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, 977, 342) = 2 x 3 x 3 x 5 x 13 x 19 x 977 = 21718710.

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, 977, 342 i.e. 21718710 smallest integer divisible by all numbers.

Least common multiple (LCM) of 390, 977, 342 is 21718710.

LCM(390, 977, 342) = 21718710

LCM of 390, 977, 342

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

Least Common Multiple of 390, 977, 342 by common division method
Least Common Multiple of 390, 977, 342 with GCF Formula

Least Common Multiple of 390,977,342

Least Common Multiple (LCM) of 390,977,342 is 21718710

2	390, 977, 342
3	195, 977, 171
	65, 977, 57

∴ So the LCM of the given numbers is 2 x 3 x 65 x 977 x 57 = 21718710

Least Common Multiple of 390,977,342 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 390,977,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,977,342) = 1

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

GCF(390,977,342) x common factors =1 x 6 = 6

LCM(390,977,342) = ( 390 × 977 × 342 ) / 6

LCM(390,977,342) = 130312260 / 6

LCM(390,977,342) = 21718710

∴ Least Common Multiple of 390,977,342 is 21718710

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, 977, 342

1. What is the LCM of 390, 977, 342?

Answer: LCM of 390, 977, 342 is 21718710.

2. What are the Factors of 21718710?

Answer: Factors of 21718710 are . There are integers that are factors of 21718710

3. How to Find the LCM of 390, 977, 342 ?

Least Common Multiple of 390, 977, 342.

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, 977, 342) = 2 x 3 x 3 x 5 x 13 x 19 x 977 = 21718710.