Least Common Multiple of 63/294, 614/198, 646/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/294, 614/198, 646/940 quickly i.e. 6247143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/294, 614/198, 646/940 is 6247143.

LCM(63/294, 614/198, 646/940) = 6247143

LCM of 63/294, 614/198, 646/940

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 63/294,614/198,646/940

Given numbers are 63/294,614/198,646/940

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 63,614,646

Least Common Multiple of Numerators i.e. LCM of 63,614,646 is 12494286.

GCF of Denominators means GCF of 294,198,940 as per the given fractions.

GCF of 294,198,940 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,614,646

LCM of Fractions 63/294,614/198,646/940 is 6247143

2 63, 614, 646
63, 307, 323

∴ So the LCM of the given numbers is 2 x 63 x 307 x 323 = 12494286

Least Common Multiple of 63,614,646 with GCF Formula

Least Common Multiple of 63,614,646 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 63,614,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,614,646) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(63,614,646) x common factors =1 x 2 = 2

LCM(63,614,646) = ( 63 × 614 × 646 ) / 2

LCM(63,614,646) = 24988572 / 2

LCM(63,614,646) = 12494286


Lets's calculate GCF of 294,198,940

2 294, 198, 940
147, 99, 470

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12494286/2

Therefore the LCM of Fractions 63/294,614/198,646/940 is 6247143

Greatest Common Factor of 294,198,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,198,940 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 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 294,198,940 . The biggest common factor number is the GCF number.
So the greatest common factor 294,198,940 is 2.


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 63/294, 614/198, 646/940

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 63/294, 614/198, 646/940?

Answer: LCM of Numerators as per given numbers 63/294, 614/198, 646/940 is

LCM of Numerators i.e. for 63,614,646 is 12494286

GCF of denominators i.e. for 294,198,940 is 2.

Thus, LCM of Fractions is 6247143.Finally, LCM of Fractions for 63/294, 614/198, 646/940 is 6247143.