Least Common Multiple of 382, 540, 343

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 382, 540, 343 i.e. 35377020 smallest integer divisible by all numbers.

Least common multiple (LCM) of 382, 540, 343 is 35377020.

LCM(382, 540, 343) = 35377020

LCM of 382, 540, 343

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

LCM of:

Least Common Multiple of 382,540,343

Least Common Multiple (LCM) of 382,540,343 is 35377020

2 382, 540, 343
191, 270, 343

∴ So the LCM of the given numbers is 2 x 191 x 270 x 343 = 35377020

Least Common Multiple of 382,540,343 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 382,540,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,540,343) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(382,540,343) x common factors =1 x 2 = 2

LCM(382,540,343) = ( 382 × 540 × 343 ) / 2

LCM(382,540,343) = 70754040 / 2

LCM(382,540,343) = 35377020

∴ Least Common Multiple of 382,540,343 is 35377020

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 382, 540, 343

1. What is the LCM of 382, 540, 343?

Answer: LCM of 382, 540, 343 is 35377020.

2. What are the Factors of 35377020?

Answer: Factors of 35377020 are . There are integers that are factors of 35377020

3. How to Find the LCM of 382, 540, 343 ?

Least Common Multiple of 382, 540, 343.

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(382, 540, 343) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 7 x 191 = 35377020.