Least Common Multiple of 279, 494, 871, 120, 384

Q: How to Find the LCM of 279, 494, 871, 120, 384 ?

Least Common Multiple of 279, 494, 871, 120, 384 = 2954989440 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(279, 494, 871, 120, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 x 31 x 67 = 2954989440.

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 279, 494, 871, 120, 384 i.e. 2954989440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 279, 494, 871, 120, 384 is 2954989440.

LCM(279, 494, 871, 120, 384) = 2954989440

LCM of 279, 494, 871, 120, 384

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

Least Common Multiple of 279, 494, 871, 120, 384 by common division method
Least Common Multiple of 279, 494, 871, 120, 384 with GCF Formula

Least Common Multiple of 279,494,871,120,384

Least Common Multiple (LCM) of 279,494,871,120,384 is 2954989440

2	279, 494, 871, 120, 384
2	279, 247, 871, 60, 192
2	279, 247, 871, 30, 96
3	279, 247, 871, 15, 48
13	93, 247, 871, 5, 16
	93, 19, 67, 5, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 93 x 19 x 67 x 5 x 16 = 2954989440

Least Common Multiple of 279,494,871,120,384 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 279,494,871,120,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,494,871,120,384) = 1

common factors(in case of two or more numbers have common factors) = 1872

GCF(279,494,871,120,384) x common factors =1 x 1872 = 1872

LCM(279,494,871,120,384) = ( 279 × 494 × 871 × 120 × 384 ) / 1872

LCM(279,494,871,120,384) = 5531740231680 / 1872

LCM(279,494,871,120,384) = 2954989440

∴ Least Common Multiple of 279,494,871,120,384 is 2954989440

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 279, 494, 871, 120, 384

1. What is the LCM of 279, 494, 871, 120, 384?

Answer: LCM of 279, 494, 871, 120, 384 is 2954989440.

2. What are the Factors of 2954989440?

Answer: Factors of 2954989440 are . There are integers that are factors of 2954989440

3. How to Find the LCM of 279, 494, 871, 120, 384 ?

Least Common Multiple of 279, 494, 871, 120, 384.

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(279, 494, 871, 120, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 x 31 x 67 = 2954989440.