Least Common Multiple of 381, 727, 816

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 381, 727, 816 i.e. 75340464 smallest integer divisible by all numbers.

Least common multiple (LCM) of 381, 727, 816 is 75340464.

LCM(381, 727, 816) = 75340464

LCM of 381, 727, 816

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

LCM of:

Least Common Multiple of 381,727,816

Least Common Multiple (LCM) of 381,727,816 is 75340464

3 381, 727, 816
127, 727, 272

∴ So the LCM of the given numbers is 3 x 127 x 727 x 272 = 75340464

Least Common Multiple of 381,727,816 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 381,727,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,727,816) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(381,727,816) x common factors =1 x 3 = 3

LCM(381,727,816) = ( 381 × 727 × 816 ) / 3

LCM(381,727,816) = 226021392 / 3

LCM(381,727,816) = 75340464

∴ Least Common Multiple of 381,727,816 is 75340464

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 381, 727, 816

1. What is the LCM of 381, 727, 816?

Answer: LCM of 381, 727, 816 is 75340464.

2. What are the Factors of 75340464?

Answer: Factors of 75340464 are . There are integers that are factors of 75340464

3. How to Find the LCM of 381, 727, 816 ?

Least Common Multiple of 381, 727, 816.

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(381, 727, 816) = 2 x 2 x 2 x 2 x 3 x 17 x 127 x 727 = 75340464.