Least Common Multiple of 64/371, 80/476, 756/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/371, 80/476, 756/294 quickly i.e. 8640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/371, 80/476, 756/294 is 8640.

LCM(64/371, 80/476, 756/294) = 8640

LCM of 64/371, 80/476, 756/294

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 64/371,80/476,756/294

Given numbers are 64/371,80/476,756/294

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 64,80,756

Least Common Multiple of Numerators i.e. LCM of 64,80,756 is 60480.

GCF of Denominators means GCF of 371,476,294 as per the given fractions.

GCF of 371,476,294 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,80,756

LCM of Fractions 64/371,80/476,756/294 is 8640

2 64, 80, 756
2 32, 40, 378
2 16, 20, 189
2 8, 10, 189
4, 5, 189

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 5 x 189 = 60480

Least Common Multiple of 64,80,756 with GCF Formula

Least Common Multiple of 64,80,756 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 64,80,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,80,756) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(64,80,756) x common factors =4 x 16 = 64

LCM(64,80,756) = ( 64 × 80 × 756 ) / 64

LCM(64,80,756) = 3870720 / 64

LCM(64,80,756) = 60480


Lets's calculate GCF of 371,476,294

7 371, 476, 294
53, 68, 42

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60480/7

Therefore the LCM of Fractions 64/371,80/476,756/294 is 8640

Greatest Common Factor of 371,476,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,476,294 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 371,476,294 . The biggest common factor number is the GCF number.
So the greatest common factor 371,476,294 is 7.


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 64/371, 80/476, 756/294

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 64/371, 80/476, 756/294?

Answer: LCM of Numerators as per given numbers 64/371, 80/476, 756/294 is

LCM of Numerators i.e. for 64,80,756 is 60480

GCF of denominators i.e. for 371,476,294 is 7.

Thus, LCM of Fractions is 8640.Finally, LCM of Fractions for 64/371, 80/476, 756/294 is 8640.