Least Common Multiple of 291/913, 5047/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/913, 5047/748 quickly i.e. 1468677/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/913, 5047/748 is 1468677/11.

LCM(291/913, 5047/748) = 1468677/11

LCM of 291/913, 5047/748

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 291/913,5047/748

Given numbers are 291/913,5047/748

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 291,5047

Least Common Multiple of Numerators i.e. LCM of 291,5047 is 1468677.

GCF of Denominators means GCF of 913,748 as per the given fractions.

GCF of 913,748 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,5047

LCM of Fractions 291/913,5047/748 is 1468677/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 1468677

Least Common Multiple of 291,5047 with GCF Formula

Least Common Multiple of 291,5047 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 291,5047 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,5047) = 1

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

GCF(291,5047) x common factors =1 x 1 = 1

LCM(291,5047) = ( 291 × 5047 ) / 1

LCM(291,5047) = 1468677 / 1

LCM(291,5047) = 1468677


Lets's calculate GCF of 913,748

11 913, 748
83, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1468677/11

Therefore the LCM of Fractions 291/913,5047/748 is 1468677/11

Greatest Common Factor of 913,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,748 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 913,748 . The biggest common factor number is the GCF number.
So the greatest common factor 913,748 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 291/913, 5047/748

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 291/913, 5047/748?

Answer: LCM of Numerators as per given numbers 291/913, 5047/748 is

LCM of Numerators i.e. for 291,5047 is 1468677

GCF of denominators i.e. for 913,748 is 11.

Thus, LCM of Fractions is 1468677/11.Finally, LCM of Fractions for 291/913, 5047/748 is 1468677/11.