Least Common Multiple of 384, 278, 556

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 384, 278, 556 i.e. 53376 smallest integer divisible by all numbers.

Least common multiple (LCM) of 384, 278, 556 is 53376.

LCM(384, 278, 556) = 53376

LCM of 384, 278, 556

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

LCM of:

Least Common Multiple of 384,278,556

Least Common Multiple (LCM) of 384,278,556 is 53376

2 384, 278, 556
2 192, 139, 278
139 96, 139, 139
96, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 139 x 96 x 1 x 1 = 53376

Least Common Multiple of 384,278,556 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 384,278,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,278,556) = 2

common factors(in case of two or more numbers have common factors) = 556

GCF(384,278,556) x common factors =2 x 556 = 1112

LCM(384,278,556) = ( 384 × 278 × 556 ) / 1112

LCM(384,278,556) = 59354112 / 1112

LCM(384,278,556) = 53376

∴ Least Common Multiple of 384,278,556 is 53376

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 384, 278, 556

1. What is the LCM of 384, 278, 556?

Answer: LCM of 384, 278, 556 is 53376.

2. What are the Factors of 53376?

Answer: Factors of 53376 are . There are integers that are factors of 53376

3. How to Find the LCM of 384, 278, 556 ?

Least Common Multiple of 384, 278, 556.

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(384, 278, 556) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 139 = 53376.