Least Common Multiple of 277/818, 771/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 277/818, 771/831 quickly i.e. 213567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/818, 771/831 is 213567.

LCM(277/818, 771/831) = 213567

LCM of 277/818, 771/831

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 277/818,771/831

Given numbers are 277/818,771/831

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 277,771

Least Common Multiple of Numerators i.e. LCM of 277,771 is 213567.

GCF of Denominators means GCF of 818,831 as per the given fractions.

GCF of 818,831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,771

LCM of Fractions 277/818,771/831 is 213567

Given numbers has no common factors except 1. So, there LCM is their product i.e 213567

Least Common Multiple of 277,771 with GCF Formula

Least Common Multiple of 277,771 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 277,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,771) = 1

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

GCF(277,771) x common factors =1 x 1 = 1

LCM(277,771) = ( 277 × 771 ) / 1

LCM(277,771) = 213567 / 1

LCM(277,771) = 213567


Lets's calculate GCF of 818,831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213567/1

Therefore the LCM of Fractions 277/818,771/831 is 213567

Greatest Common Factor of 818,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,831 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 818,831 . The biggest common factor number is the GCF number.
So the greatest common factor 818,831 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 277/818, 771/831

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 277/818, 771/831?

Answer: LCM of Numerators as per given numbers 277/818, 771/831 is

LCM of Numerators i.e. for 277,771 is 213567

GCF of denominators i.e. for 818,831 is 1.

Thus, LCM of Fractions is 213567.Finally, LCM of Fractions for 277/818, 771/831 is 213567.