Least Common Multiple of 294/51, 1197/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 294/51, 1197/780 quickly i.e. 5586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 294/51, 1197/780 is 5586.

LCM(294/51, 1197/780) = 5586

LCM of 294/51, 1197/780

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 294/51,1197/780

Given numbers are 294/51,1197/780

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 294,1197

Least Common Multiple of Numerators i.e. LCM of 294,1197 is 16758.

GCF of Denominators means GCF of 51,780 as per the given fractions.

GCF of 51,780 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 294,1197

LCM of Fractions 294/51,1197/780 is 5586

3 294, 1197
7 98, 399
14, 57

∴ So the LCM of the given numbers is 3 x 7 x 14 x 57 = 16758

Least Common Multiple of 294,1197 with GCF Formula

Least Common Multiple of 294,1197 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 294,1197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,1197) = 21

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

GCF(294,1197) x common factors =21 x 1 = 21

LCM(294,1197) = ( 294 × 1197 ) / 21

LCM(294,1197) = 351918 / 21

LCM(294,1197) = 16758


Lets's calculate GCF of 51,780

3 51, 780
17, 260

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16758/3

Therefore the LCM of Fractions 294/51,1197/780 is 5586

Greatest Common Factor of 51,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,780 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 51,780 . The biggest common factor number is the GCF number.
So the greatest common factor 51,780 is 3.


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 294/51, 1197/780

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 294/51, 1197/780?

Answer: LCM of Numerators as per given numbers 294/51, 1197/780 is

LCM of Numerators i.e. for 294,1197 is 16758

GCF of denominators i.e. for 51,780 is 3.

Thus, LCM of Fractions is 5586.Finally, LCM of Fractions for 294/51, 1197/780 is 5586.