Least Common Multiple of 50, 21, 39, 960

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 50, 21, 39, 960 i.e. 436800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 50, 21, 39, 960 is 436800.

LCM(50, 21, 39, 960) = 436800

LCM of 50, 21, 39, 960

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

LCM of:

Least Common Multiple of 50,21,39,960

Least Common Multiple (LCM) of 50,21,39,960 is 436800

2 50, 21, 39, 960
3 25, 21, 39, 480
5 25, 7, 13, 160
5, 7, 13, 32

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 7 x 13 x 32 = 436800

Least Common Multiple of 50,21,39,960 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 50,21,39,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,21,39,960) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(50,21,39,960) x common factors =1 x 90 = 90

LCM(50,21,39,960) = ( 50 × 21 × 39 × 960 ) / 90

LCM(50,21,39,960) = 39312000 / 90

LCM(50,21,39,960) = 436800

∴ Least Common Multiple of 50,21,39,960 is 436800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 50, 21, 39, 960

1. What is the LCM of 50, 21, 39, 960?

Answer: LCM of 50, 21, 39, 960 is 436800.

2. What are the Factors of 436800?

Answer: Factors of 436800 are . There are integers that are factors of 436800

3. How to Find the LCM of 50, 21, 39, 960 ?

Least Common Multiple of 50, 21, 39, 960.

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(50, 21, 39, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 13 = 436800.