Least Common Multiple of 577/56, 702/64, 908/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/56, 702/64, 908/886 quickly i.e. 91947258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/56, 702/64, 908/886 is 91947258.

LCM(577/56, 702/64, 908/886) = 91947258

LCM of 577/56, 702/64, 908/886

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 577/56,702/64,908/886

Given numbers are 577/56,702/64,908/886

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 577,702,908

Least Common Multiple of Numerators i.e. LCM of 577,702,908 is 183894516.

GCF of Denominators means GCF of 56,64,886 as per the given fractions.

GCF of 56,64,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,702,908

LCM of Fractions 577/56,702/64,908/886 is 91947258

2 577, 702, 908
577, 351, 454

∴ So the LCM of the given numbers is 2 x 577 x 351 x 454 = 183894516

Least Common Multiple of 577,702,908 with GCF Formula

Least Common Multiple of 577,702,908 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 577,702,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,702,908) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(577,702,908) x common factors =1 x 2 = 2

LCM(577,702,908) = ( 577 × 702 × 908 ) / 2

LCM(577,702,908) = 367789032 / 2

LCM(577,702,908) = 183894516


Lets's calculate GCF of 56,64,886

2 56, 64, 886
28, 32, 443

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183894516/2

Therefore the LCM of Fractions 577/56,702/64,908/886 is 91947258

Greatest Common Factor of 56,64,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,64,886 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 56,64,886 . The biggest common factor number is the GCF number.
So the greatest common factor 56,64,886 is 2.


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 577/56, 702/64, 908/886

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 577/56, 702/64, 908/886?

Answer: LCM of Numerators as per given numbers 577/56, 702/64, 908/886 is

LCM of Numerators i.e. for 577,702,908 is 183894516

GCF of denominators i.e. for 56,64,886 is 2.

Thus, LCM of Fractions is 91947258.Finally, LCM of Fractions for 577/56, 702/64, 908/886 is 91947258.