Least Common Multiple of 442, 480, 512, 735

Q: How to Find the LCM of 442, 480, 512, 735 ?

Least Common Multiple of 442, 480, 512, 735 = 83166720 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(442, 480, 512, 735) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 x 17 = 83166720.

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 442, 480, 512, 735 i.e. 83166720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 442, 480, 512, 735 is 83166720.

LCM(442, 480, 512, 735) = 83166720

LCM of 442, 480, 512, 735

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

Least Common Multiple of 442, 480, 512, 735 by common division method
Least Common Multiple of 442, 480, 512, 735 with GCF Formula

Least Common Multiple of 442,480,512,735

Least Common Multiple (LCM) of 442,480,512,735 is 83166720

2	442, 480, 512, 735
2	221, 240, 256, 735
2	221, 120, 128, 735
2	221, 60, 64, 735
2	221, 30, 32, 735
3	221, 15, 16, 735
5	221, 5, 16, 245
	221, 1, 16, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 221 x 1 x 16 x 49 = 83166720

Least Common Multiple of 442,480,512,735 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 442,480,512,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,480,512,735) = 1

common factors(in case of two or more numbers have common factors) = 960

GCF(442,480,512,735) x common factors =1 x 960 = 960

LCM(442,480,512,735) = ( 442 × 480 × 512 × 735 ) / 960

LCM(442,480,512,735) = 79840051200 / 960

LCM(442,480,512,735) = 83166720

∴ Least Common Multiple of 442,480,512,735 is 83166720

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 442, 480, 512, 735

1. What is the LCM of 442, 480, 512, 735?

Answer: LCM of 442, 480, 512, 735 is 83166720.

2. What are the Factors of 83166720?

Answer: Factors of 83166720 are . There are integers that are factors of 83166720

3. How to Find the LCM of 442, 480, 512, 735 ?

Least Common Multiple of 442, 480, 512, 735.

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(442, 480, 512, 735) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 x 17 = 83166720.