Least Common Multiple of 277/71, 964/9359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 277/71, 964/9359 quickly i.e. 267028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/71, 964/9359 is 267028.

LCM(277/71, 964/9359) = 267028

LCM of 277/71, 964/9359

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 277/71,964/9359

Given numbers are 277/71,964/9359

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 277,964

Least Common Multiple of Numerators i.e. LCM of 277,964 is 267028.

GCF of Denominators means GCF of 71,9359 as per the given fractions.

GCF of 71,9359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,964

LCM of Fractions 277/71,964/9359 is 267028

Given numbers has no common factors except 1. So, there LCM is their product i.e 267028

Least Common Multiple of 277,964 with GCF Formula

Least Common Multiple of 277,964 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 277,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,964) = 1

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

GCF(277,964) x common factors =1 x 1 = 1

LCM(277,964) = ( 277 × 964 ) / 1

LCM(277,964) = 267028 / 1

LCM(277,964) = 267028


Lets's calculate GCF of 71,9359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267028/1

Therefore the LCM of Fractions 277/71,964/9359 is 267028

Greatest Common Factor of 71,9359 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,9359 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 9359

List of positive integer factors of 9359 that divides 9359 without a remainder.

1,7,49,191,1337,9359

Greatest Common Factor

We found the factors 71,9359 . The biggest common factor number is the GCF number.
So the greatest common factor 71,9359 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 277/71, 964/9359

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 277/71, 964/9359?

Answer: LCM of Numerators as per given numbers 277/71, 964/9359 is

LCM of Numerators i.e. for 277,964 is 267028

GCF of denominators i.e. for 71,9359 is 1.

Thus, LCM of Fractions is 267028.Finally, LCM of Fractions for 277/71, 964/9359 is 267028.