Least Common Multiple of 49/638, 13/749, 167/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/638, 13/749, 167/893 quickly i.e. 106379 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/638, 13/749, 167/893 is 106379.

LCM(49/638, 13/749, 167/893) = 106379

LCM of 49/638, 13/749, 167/893

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 49/638,13/749,167/893

Given numbers are 49/638,13/749,167/893

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 49,13,167

Least Common Multiple of Numerators i.e. LCM of 49,13,167 is 106379.

GCF of Denominators means GCF of 638,749,893 as per the given fractions.

GCF of 638,749,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,13,167

LCM of Fractions 49/638,13/749,167/893 is 106379

Given numbers has no common factors except 1. So, there LCM is their product i.e 106379

Least Common Multiple of 49,13,167 with GCF Formula

Least Common Multiple of 49,13,167 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 49,13,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,13,167) = 1

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

GCF(49,13,167) x common factors =1 x 1 = 1

LCM(49,13,167) = ( 49 × 13 × 167 ) / 1

LCM(49,13,167) = 106379 / 1

LCM(49,13,167) = 106379


Lets's calculate GCF of 638,749,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106379/1

Therefore the LCM of Fractions 49/638,13/749,167/893 is 106379

Greatest Common Factor of 638,749,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,749,893 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 638,749,893 . The biggest common factor number is the GCF number.
So the greatest common factor 638,749,893 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 49/638, 13/749, 167/893

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 49/638, 13/749, 167/893?

Answer: LCM of Numerators as per given numbers 49/638, 13/749, 167/893 is

LCM of Numerators i.e. for 49,13,167 is 106379

GCF of denominators i.e. for 638,749,893 is 1.

Thus, LCM of Fractions is 106379.Finally, LCM of Fractions for 49/638, 13/749, 167/893 is 106379.