Least Common Multiple of 749/477, 4708/6294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/477, 4708/6294 quickly i.e. 32956/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/477, 4708/6294 is 32956/3.

LCM(749/477, 4708/6294) = 32956/3

LCM of 749/477, 4708/6294

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 749/477,4708/6294

Given numbers are 749/477,4708/6294

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 749,4708

Least Common Multiple of Numerators i.e. LCM of 749,4708 is 32956.

GCF of Denominators means GCF of 477,6294 as per the given fractions.

GCF of 477,6294 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,4708

LCM of Fractions 749/477,4708/6294 is 32956/3

107 749, 4708
7, 44

∴ So the LCM of the given numbers is 107 x 7 x 44 = 32956

Least Common Multiple of 749,4708 with GCF Formula

Least Common Multiple of 749,4708 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 749,4708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,4708) = 107

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

GCF(749,4708) x common factors =107 x 1 = 107

LCM(749,4708) = ( 749 × 4708 ) / 107

LCM(749,4708) = 3526292 / 107

LCM(749,4708) = 32956


Lets's calculate GCF of 477,6294

3 477, 6294
159, 2098

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32956/3

Therefore the LCM of Fractions 749/477,4708/6294 is 32956/3

Greatest Common Factor of 477,6294 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,6294 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 6294

List of positive integer factors of 6294 that divides 6294 without a remainder.

1,2,3,6,1049,2098,3147,6294

Greatest Common Factor

We found the factors 477,6294 . The biggest common factor number is the GCF number.
So the greatest common factor 477,6294 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 749/477, 4708/6294

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 749/477, 4708/6294?

Answer: LCM of Numerators as per given numbers 749/477, 4708/6294 is

LCM of Numerators i.e. for 749,4708 is 32956

GCF of denominators i.e. for 477,6294 is 3.

Thus, LCM of Fractions is 32956/3.Finally, LCM of Fractions for 749/477, 4708/6294 is 32956/3.