Least Common Multiple of 47/277, 54/709, 799/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/277, 54/709, 799/791 quickly i.e. 43146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/277, 54/709, 799/791 is 43146.

LCM(47/277, 54/709, 799/791) = 43146

LCM of 47/277, 54/709, 799/791

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 47/277,54/709,799/791

Given numbers are 47/277,54/709,799/791

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 47,54,799

Least Common Multiple of Numerators i.e. LCM of 47,54,799 is 43146.

GCF of Denominators means GCF of 277,709,791 as per the given fractions.

GCF of 277,709,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,54,799

LCM of Fractions 47/277,54/709,799/791 is 43146

47 47, 54, 799
1, 54, 17

∴ So the LCM of the given numbers is 47 x 1 x 54 x 17 = 43146

Least Common Multiple of 47,54,799 with GCF Formula

Least Common Multiple of 47,54,799 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 47,54,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,54,799) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(47,54,799) x common factors =1 x 47 = 47

LCM(47,54,799) = ( 47 × 54 × 799 ) / 47

LCM(47,54,799) = 2027862 / 47

LCM(47,54,799) = 43146


Lets's calculate GCF of 277,709,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43146/1

Therefore the LCM of Fractions 47/277,54/709,799/791 is 43146

Greatest Common Factor of 277,709,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,709,791 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 277,709,791 . The biggest common factor number is the GCF number.
So the greatest common factor 277,709,791 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 47/277, 54/709, 799/791

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 47/277, 54/709, 799/791?

Answer: LCM of Numerators as per given numbers 47/277, 54/709, 799/791 is

LCM of Numerators i.e. for 47,54,799 is 43146

GCF of denominators i.e. for 277,709,791 is 1.

Thus, LCM of Fractions is 43146.Finally, LCM of Fractions for 47/277, 54/709, 799/791 is 43146.