Least Common Multiple of 576/39, 356/6476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/39, 356/6476 quickly i.e. 51264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/39, 356/6476 is 51264.

LCM(576/39, 356/6476) = 51264

LCM of 576/39, 356/6476

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 576/39,356/6476

Given numbers are 576/39,356/6476

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 576,356

Least Common Multiple of Numerators i.e. LCM of 576,356 is 51264.

GCF of Denominators means GCF of 39,6476 as per the given fractions.

GCF of 39,6476 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,356

LCM of Fractions 576/39,356/6476 is 51264

2 576, 356
2 288, 178
144, 89

∴ So the LCM of the given numbers is 2 x 2 x 144 x 89 = 51264

Least Common Multiple of 576,356 with GCF Formula

Least Common Multiple of 576,356 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 576,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,356) = 4

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

GCF(576,356) x common factors =4 x 1 = 4

LCM(576,356) = ( 576 × 356 ) / 4

LCM(576,356) = 205056 / 4

LCM(576,356) = 51264


Lets's calculate GCF of 39,6476

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51264/1

Therefore the LCM of Fractions 576/39,356/6476 is 51264

Greatest Common Factor of 39,6476 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,6476 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 6476

List of positive integer factors of 6476 that divides 6476 without a remainder.

1,2,4,1619,3238,6476

Greatest Common Factor

We found the factors 39,6476 . The biggest common factor number is the GCF number.
So the greatest common factor 39,6476 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 576/39, 356/6476

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 576/39, 356/6476?

Answer: LCM of Numerators as per given numbers 576/39, 356/6476 is

LCM of Numerators i.e. for 576,356 is 51264

GCF of denominators i.e. for 39,6476 is 1.

Thus, LCM of Fractions is 51264.Finally, LCM of Fractions for 576/39, 356/6476 is 51264.