Least Common Multiple of 6976/294, 6288/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6976/294, 6288/827 quickly i.e. 2741568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6976/294, 6288/827 is 2741568.

LCM(6976/294, 6288/827) = 2741568

LCM of 6976/294, 6288/827

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 6976/294,6288/827

Given numbers are 6976/294,6288/827

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 6976,6288

Least Common Multiple of Numerators i.e. LCM of 6976,6288 is 2741568.

GCF of Denominators means GCF of 294,827 as per the given fractions.

GCF of 294,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6976,6288

LCM of Fractions 6976/294,6288/827 is 2741568

2 6976, 6288
2 3488, 3144
2 1744, 1572
2 872, 786
436, 393

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 436 x 393 = 2741568

Least Common Multiple of 6976,6288 with GCF Formula

Least Common Multiple of 6976,6288 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 6976,6288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6976,6288) = 16

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

GCF(6976,6288) x common factors =16 x 1 = 16

LCM(6976,6288) = ( 6976 × 6288 ) / 16

LCM(6976,6288) = 43865088 / 16

LCM(6976,6288) = 2741568


Lets's calculate GCF of 294,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2741568/1

Therefore the LCM of Fractions 6976/294,6288/827 is 2741568

Greatest Common Factor of 294,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,827 By Matching Biggest Common Factor Method

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

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 294,827 . The biggest common factor number is the GCF number.
So the greatest common factor 294,827 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 6976/294, 6288/827

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 6976/294, 6288/827?

Answer: LCM of Numerators as per given numbers 6976/294, 6288/827 is

LCM of Numerators i.e. for 6976,6288 is 2741568

GCF of denominators i.e. for 294,827 is 1.

Thus, LCM of Fractions is 2741568.Finally, LCM of Fractions for 6976/294, 6288/827 is 2741568.