Least Common Multiple of 390, 423, 614

Q: How to Find the LCM of 390, 423, 614 ?

Least Common Multiple of 390, 423, 614 = 16881930 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, 423, 614) = 2 x 3 x 3 x 5 x 13 x 47 x 307 = 16881930.

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, 423, 614 i.e. 16881930 smallest integer divisible by all numbers.

Least common multiple (LCM) of 390, 423, 614 is 16881930.

LCM(390, 423, 614) = 16881930

LCM of 390, 423, 614

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

Least Common Multiple of 390, 423, 614 by common division method
Least Common Multiple of 390, 423, 614 with GCF Formula

Least Common Multiple of 390,423,614

Least Common Multiple (LCM) of 390,423,614 is 16881930

2	390, 423, 614
3	195, 423, 307
	65, 141, 307

∴ So the LCM of the given numbers is 2 x 3 x 65 x 141 x 307 = 16881930

Least Common Multiple of 390,423,614 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 390,423,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,423,614) = 1

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

GCF(390,423,614) x common factors =1 x 6 = 6

LCM(390,423,614) = ( 390 × 423 × 614 ) / 6

LCM(390,423,614) = 101291580 / 6

LCM(390,423,614) = 16881930

∴ Least Common Multiple of 390,423,614 is 16881930

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, 423, 614

1. What is the LCM of 390, 423, 614?

Answer: LCM of 390, 423, 614 is 16881930.

2. What are the Factors of 16881930?

Answer: Factors of 16881930 are . There are integers that are factors of 16881930

3. How to Find the LCM of 390, 423, 614 ?

Least Common Multiple of 390, 423, 614.

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, 423, 614) = 2 x 3 x 3 x 5 x 13 x 47 x 307 = 16881930.