Least Common Multiple of 384, 6296

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, 6296 i.e. 302208 smallest integer divisible by all numbers.

Least common multiple (LCM) of 384, 6296 is 302208.

LCM(384, 6296) = 302208

LCM of 384, 6296

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

LCM of:

Least Common Multiple of 384,6296

Least Common Multiple (LCM) of 384,6296 is 302208

2 384, 6296
2 192, 3148
2 96, 1574
48, 787

∴ So the LCM of the given numbers is 2 x 2 x 2 x 48 x 787 = 302208

Least Common Multiple of 384,6296 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 384,6296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,6296) = 8

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

GCF(384,6296) x common factors =8 x 1 = 8

LCM(384,6296) = ( 384 × 6296 ) / 8

LCM(384,6296) = 2417664 / 8

LCM(384,6296) = 302208

∴ Least Common Multiple of 384,6296 is 302208

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 384, 6296

1. What is the LCM of 384, 6296?

Answer: LCM of 384, 6296 is 302208.

2. What are the Factors of 302208?

Answer: Factors of 302208 are . There are integers that are factors of 302208

3. How to Find the LCM of 384, 6296 ?

Least Common Multiple of 384, 6296.

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, 6296) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 787 = 302208.