Least Common Multiple of 288/77, 294/6369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/77, 294/6369 quickly i.e. 14112/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/77, 294/6369 is 14112/11.

LCM(288/77, 294/6369) = 14112/11

LCM of 288/77, 294/6369

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 288/77,294/6369

Given numbers are 288/77,294/6369

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 288,294

Least Common Multiple of Numerators i.e. LCM of 288,294 is 14112.

GCF of Denominators means GCF of 77,6369 as per the given fractions.

GCF of 77,6369 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,294

LCM of Fractions 288/77,294/6369 is 14112/11

2 288, 294
3 144, 147
48, 49

∴ So the LCM of the given numbers is 2 x 3 x 48 x 49 = 14112

Least Common Multiple of 288,294 with GCF Formula

Least Common Multiple of 288,294 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 288,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,294) = 6

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

GCF(288,294) x common factors =6 x 1 = 6

LCM(288,294) = ( 288 × 294 ) / 6

LCM(288,294) = 84672 / 6

LCM(288,294) = 14112


Lets's calculate GCF of 77,6369

11 77, 6369
7, 579

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14112/11

Therefore the LCM of Fractions 288/77,294/6369 is 14112/11

Greatest Common Factor of 77,6369 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,6369 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 6369

List of positive integer factors of 6369 that divides 6369 without a remainder.

1,3,11,33,193,579,2123,6369

Greatest Common Factor

We found the factors 77,6369 . The biggest common factor number is the GCF number.
So the greatest common factor 77,6369 is 11.


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 288/77, 294/6369

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 288/77, 294/6369?

Answer: LCM of Numerators as per given numbers 288/77, 294/6369 is

LCM of Numerators i.e. for 288,294 is 14112

GCF of denominators i.e. for 77,6369 is 11.

Thus, LCM of Fractions is 14112/11.Finally, LCM of Fractions for 288/77, 294/6369 is 14112/11.