Least Common Multiple of 457, 676, 960

Q: How to Find the LCM of 457, 676, 960 ?

Least Common Multiple of 457, 676, 960 = 74143680 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(457, 676, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 13 x 457 = 74143680.

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 457, 676, 960 i.e. 74143680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 457, 676, 960 is 74143680.

LCM(457, 676, 960) = 74143680

LCM of 457, 676, 960

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

Least Common Multiple of 457, 676, 960 by common division method
Least Common Multiple of 457, 676, 960 with GCF Formula

Least Common Multiple of 457,676,960

Least Common Multiple (LCM) of 457,676,960 is 74143680

2	457, 676, 960
2	457, 338, 480
	457, 169, 240

∴ So the LCM of the given numbers is 2 x 2 x 457 x 169 x 240 = 74143680

Least Common Multiple of 457,676,960 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 457,676,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,676,960) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(457,676,960) x common factors =1 x 4 = 4

LCM(457,676,960) = ( 457 × 676 × 960 ) / 4

LCM(457,676,960) = 296574720 / 4

LCM(457,676,960) = 74143680

∴ Least Common Multiple of 457,676,960 is 74143680

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 457, 676, 960

1. What is the LCM of 457, 676, 960?

Answer: LCM of 457, 676, 960 is 74143680.

2. What are the Factors of 74143680?

Answer: Factors of 74143680 are . There are integers that are factors of 74143680

3. How to Find the LCM of 457, 676, 960 ?

Least Common Multiple of 457, 676, 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(457, 676, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 13 x 457 = 74143680.