Least Common Multiple of 390, 624, 138

Q: How to Find the LCM of 390, 624, 138 ?

Least Common Multiple of 390, 624, 138 = 71760 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, 624, 138) = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 23 = 71760.

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, 624, 138 i.e. 71760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 390, 624, 138 is 71760.

LCM(390, 624, 138) = 71760

LCM of 390, 624, 138

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

Least Common Multiple of 390, 624, 138 by common division method
Least Common Multiple of 390, 624, 138 with GCF Formula

Least Common Multiple of 390,624,138

Least Common Multiple (LCM) of 390,624,138 is 71760

2	390, 624, 138
3	195, 312, 69
13	65, 104, 23
	5, 8, 23

∴ So the LCM of the given numbers is 2 x 3 x 13 x 5 x 8 x 23 = 71760

Least Common Multiple of 390,624,138 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 390,624,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,624,138) = 6

common factors(in case of two or more numbers have common factors) = 78

GCF(390,624,138) x common factors =6 x 78 = 468

LCM(390,624,138) = ( 390 × 624 × 138 ) / 468

LCM(390,624,138) = 33583680 / 468

LCM(390,624,138) = 71760

∴ Least Common Multiple of 390,624,138 is 71760

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, 624, 138

1. What is the LCM of 390, 624, 138?

Answer: LCM of 390, 624, 138 is 71760.

2. What are the Factors of 71760?

Answer: Factors of 71760 are . There are integers that are factors of 71760

3. How to Find the LCM of 390, 624, 138 ?

Least Common Multiple of 390, 624, 138.

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, 624, 138) = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 23 = 71760.