Least Common Multiple of 39, 46, 624

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 39, 46, 624 i.e. 14352 smallest integer divisible by all numbers.

Least common multiple (LCM) of 39, 46, 624 is 14352.

LCM(39, 46, 624) = 14352

LCM of 39, 46, 624

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

LCM of:

Least Common Multiple of 39,46,624

Least Common Multiple (LCM) of 39,46,624 is 14352

2 39, 46, 624
3 39, 23, 312
13 13, 23, 104
1, 23, 8

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 23 x 8 = 14352

Least Common Multiple of 39,46,624 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 39,46,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,46,624) = 1

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

GCF(39,46,624) x common factors =1 x 78 = 78

LCM(39,46,624) = ( 39 × 46 × 624 ) / 78

LCM(39,46,624) = 1119456 / 78

LCM(39,46,624) = 14352

∴ Least Common Multiple of 39,46,624 is 14352

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 39, 46, 624

1. What is the LCM of 39, 46, 624?

Answer: LCM of 39, 46, 624 is 14352.

2. What are the Factors of 14352?

Answer: Factors of 14352 are . There are integers that are factors of 14352

3. How to Find the LCM of 39, 46, 624 ?

Least Common Multiple of 39, 46, 624.

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(39, 46, 624) = 2 x 2 x 2 x 2 x 3 x 13 x 23 = 14352.