Least Common Multiple of 427/71, 577/63, 959/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/71, 577/63, 959/484 quickly i.e. 33753923 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/71, 577/63, 959/484 is 33753923.

LCM(427/71, 577/63, 959/484) = 33753923

LCM of 427/71, 577/63, 959/484

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 427/71,577/63,959/484

Given numbers are 427/71,577/63,959/484

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 427,577,959

Least Common Multiple of Numerators i.e. LCM of 427,577,959 is 33753923.

GCF of Denominators means GCF of 71,63,484 as per the given fractions.

GCF of 71,63,484 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,577,959

LCM of Fractions 427/71,577/63,959/484 is 33753923

7 427, 577, 959
61, 577, 137

∴ So the LCM of the given numbers is 7 x 61 x 577 x 137 = 33753923

Least Common Multiple of 427,577,959 with GCF Formula

Least Common Multiple of 427,577,959 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 427,577,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,577,959) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(427,577,959) x common factors =1 x 7 = 7

LCM(427,577,959) = ( 427 × 577 × 959 ) / 7

LCM(427,577,959) = 236277461 / 7

LCM(427,577,959) = 33753923


Lets's calculate GCF of 71,63,484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33753923/1

Therefore the LCM of Fractions 427/71,577/63,959/484 is 33753923

Greatest Common Factor of 71,63,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,63,484 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 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 71,63,484 . The biggest common factor number is the GCF number.
So the greatest common factor 71,63,484 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 427/71, 577/63, 959/484

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 427/71, 577/63, 959/484?

Answer: LCM of Numerators as per given numbers 427/71, 577/63, 959/484 is

LCM of Numerators i.e. for 427,577,959 is 33753923

GCF of denominators i.e. for 71,63,484 is 1.

Thus, LCM of Fractions is 33753923.Finally, LCM of Fractions for 427/71, 577/63, 959/484 is 33753923.