Least Common Multiple of 384, 316, 768

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, 316, 768 i.e. 60672 smallest integer divisible by all numbers.

Least common multiple (LCM) of 384, 316, 768 is 60672.

LCM(384, 316, 768) = 60672

LCM of 384, 316, 768

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

LCM of:

Least Common Multiple of 384,316,768

Least Common Multiple (LCM) of 384,316,768 is 60672

2 384, 316, 768
2 192, 158, 384
2 96, 79, 192
2 48, 79, 96
2 24, 79, 48
2 12, 79, 24
2 6, 79, 12
3 3, 79, 6
1, 79, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 79 x 2 = 60672

Least Common Multiple of 384,316,768 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 384,316,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,316,768) = 4

common factors(in case of two or more numbers have common factors) = 384

GCF(384,316,768) x common factors =4 x 384 = 1536

LCM(384,316,768) = ( 384 × 316 × 768 ) / 1536

LCM(384,316,768) = 93192192 / 1536

LCM(384,316,768) = 60672

∴ Least Common Multiple of 384,316,768 is 60672

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 384, 316, 768

1. What is the LCM of 384, 316, 768?

Answer: LCM of 384, 316, 768 is 60672.

2. What are the Factors of 60672?

Answer: Factors of 60672 are . There are integers that are factors of 60672

3. How to Find the LCM of 384, 316, 768 ?

Least Common Multiple of 384, 316, 768.

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, 316, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 79 = 60672.