Least Common Multiple of 39, 768, 960

Q: How to Find the LCM of 39, 768, 960 ?

Least Common Multiple of 39, 768, 960 = 49920 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, 768, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 = 49920.

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, 768, 960 i.e. 49920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 39, 768, 960 is 49920.

LCM(39, 768, 960) = 49920

LCM of 39, 768, 960

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

Least Common Multiple of 39, 768, 960 by common division method
Least Common Multiple of 39, 768, 960 with GCF Formula

Least Common Multiple of 39,768,960

Least Common Multiple (LCM) of 39,768,960 is 49920

2	39, 768, 960
2	39, 384, 480
2	39, 192, 240
2	39, 96, 120
2	39, 48, 60
2	39, 24, 30
3	39, 12, 15
	13, 4, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 4 x 5 = 49920

Least Common Multiple of 39,768,960 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 39,768,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,768,960) = 3

common factors(in case of two or more numbers have common factors) = 192

GCF(39,768,960) x common factors =3 x 192 = 576

LCM(39,768,960) = ( 39 × 768 × 960 ) / 576

LCM(39,768,960) = 28753920 / 576

LCM(39,768,960) = 49920

∴ Least Common Multiple of 39,768,960 is 49920

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, 768, 960

1. What is the LCM of 39, 768, 960?

Answer: LCM of 39, 768, 960 is 49920.

2. What are the Factors of 49920?

Answer: Factors of 49920 are . There are integers that are factors of 49920

3. How to Find the LCM of 39, 768, 960 ?

Least Common Multiple of 39, 768, 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(39, 768, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 = 49920.