Least Common Multiple of 384, 2888

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, 2888 i.e. 138624 smallest integer divisible by all numbers.

Least common multiple (LCM) of 384, 2888 is 138624.

LCM(384, 2888) = 138624

LCM of 384, 2888

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

LCM of:

Least Common Multiple of 384,2888

Least Common Multiple (LCM) of 384,2888 is 138624

2 384, 2888
2 192, 1444
2 96, 722
48, 361

∴ So the LCM of the given numbers is 2 x 2 x 2 x 48 x 361 = 138624

Least Common Multiple of 384,2888 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 384,2888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,2888) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(384,2888) x common factors =8 x 1 = 8

LCM(384,2888) = ( 384 × 2888 ) / 8

LCM(384,2888) = 1108992 / 8

LCM(384,2888) = 138624

∴ Least Common Multiple of 384,2888 is 138624

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 384, 2888

1. What is the LCM of 384, 2888?

Answer: LCM of 384, 2888 is 138624.

2. What are the Factors of 138624?

Answer: Factors of 138624 are . There are integers that are factors of 138624

3. How to Find the LCM of 384, 2888 ?

Least Common Multiple of 384, 2888.

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, 2888) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 19 = 138624.