Least Common Multiple of 960, 9590, 460

Q: How to Find the LCM of 960, 9590, 460 ?

Least Common Multiple of 960, 9590, 460 = 21174720 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(960, 9590, 460) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 23 x 137 = 21174720.

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 960, 9590, 460 i.e. 21174720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 960, 9590, 460 is 21174720.

LCM(960, 9590, 460) = 21174720

LCM of 960, 9590, 460

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

Least Common Multiple of 960, 9590, 460 by common division method
Least Common Multiple of 960, 9590, 460 with GCF Formula

Least Common Multiple of 960,9590,460

Least Common Multiple (LCM) of 960,9590,460 is 21174720

2	960, 9590, 460
2	480, 4795, 230
5	240, 4795, 115
	48, 959, 23

∴ So the LCM of the given numbers is 2 x 2 x 5 x 48 x 959 x 23 = 21174720

Least Common Multiple of 960,9590,460 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 960,9590,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,9590,460) = 10

common factors(in case of two or more numbers have common factors) = 20

GCF(960,9590,460) x common factors =10 x 20 = 200

LCM(960,9590,460) = ( 960 × 9590 × 460 ) / 200

LCM(960,9590,460) = 4234944000 / 200

LCM(960,9590,460) = 21174720

∴ Least Common Multiple of 960,9590,460 is 21174720

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 960, 9590, 460

1. What is the LCM of 960, 9590, 460?

Answer: LCM of 960, 9590, 460 is 21174720.

2. What are the Factors of 21174720?

Answer: Factors of 21174720 are . There are integers that are factors of 21174720

3. How to Find the LCM of 960, 9590, 460 ?

Least Common Multiple of 960, 9590, 460.

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(960, 9590, 460) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 23 x 137 = 21174720.