Least Common Multiple of 584/687, 381/123, 686/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 584/687, 381/123, 686/526 quickly i.e. 76318872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/687, 381/123, 686/526 is 76318872.

LCM(584/687, 381/123, 686/526) = 76318872

LCM of 584/687, 381/123, 686/526

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 584/687,381/123,686/526

Given numbers are 584/687,381/123,686/526

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 584,381,686

Least Common Multiple of Numerators i.e. LCM of 584,381,686 is 76318872.

GCF of Denominators means GCF of 687,123,526 as per the given fractions.

GCF of 687,123,526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,381,686

LCM of Fractions 584/687,381/123,686/526 is 76318872

2 584, 381, 686
292, 381, 343

∴ So the LCM of the given numbers is 2 x 292 x 381 x 343 = 76318872

Least Common Multiple of 584,381,686 with GCF Formula

Least Common Multiple of 584,381,686 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 584,381,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,381,686) = 1

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

GCF(584,381,686) x common factors =1 x 2 = 2

LCM(584,381,686) = ( 584 × 381 × 686 ) / 2

LCM(584,381,686) = 152637744 / 2

LCM(584,381,686) = 76318872


Lets's calculate GCF of 687,123,526

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76318872/1

Therefore the LCM of Fractions 584/687,381/123,686/526 is 76318872

Greatest Common Factor of 687,123,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,123,526 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 687,123,526 . The biggest common factor number is the GCF number.
So the greatest common factor 687,123,526 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 584/687, 381/123, 686/526

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 584/687, 381/123, 686/526?

Answer: LCM of Numerators as per given numbers 584/687, 381/123, 686/526 is

LCM of Numerators i.e. for 584,381,686 is 76318872

GCF of denominators i.e. for 687,123,526 is 1.

Thus, LCM of Fractions is 76318872.Finally, LCM of Fractions for 584/687, 381/123, 686/526 is 76318872.