Least Common Multiple of 105, 960, 120

Q: How to Find the LCM of 105, 960, 120 ?

Least Common Multiple of 105, 960, 120 = 6720 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(105, 960, 120) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 = 6720.

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 105, 960, 120 i.e. 6720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 105, 960, 120 is 6720.

LCM(105, 960, 120) = 6720

LCM of 105, 960, 120

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

Least Common Multiple of 105, 960, 120 by common division method
Least Common Multiple of 105, 960, 120 with GCF Formula

Least Common Multiple of 105,960,120

Least Common Multiple (LCM) of 105,960,120 is 6720

2	105, 960, 120
2	105, 480, 60
2	105, 240, 30
3	105, 120, 15
5	35, 40, 5
	7, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 8 x 1 = 6720

Least Common Multiple of 105,960,120 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 105,960,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,960,120) = 15

common factors(in case of two or more numbers have common factors) = 120

GCF(105,960,120) x common factors =15 x 120 = 1800

LCM(105,960,120) = ( 105 × 960 × 120 ) / 1800

LCM(105,960,120) = 12096000 / 1800

LCM(105,960,120) = 6720

∴ Least Common Multiple of 105,960,120 is 6720

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 105, 960, 120

1. What is the LCM of 105, 960, 120?

Answer: LCM of 105, 960, 120 is 6720.

2. What are the Factors of 6720?

Answer: Factors of 6720 are . There are integers that are factors of 6720

3. How to Find the LCM of 105, 960, 120 ?

Least Common Multiple of 105, 960, 120.

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(105, 960, 120) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 = 6720.