Least Common Multiple of 26/701, 56/587, 519/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/701, 56/587, 519/940 quickly i.e. 377832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/701, 56/587, 519/940 is 377832.

LCM(26/701, 56/587, 519/940) = 377832

LCM of 26/701, 56/587, 519/940

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 26/701,56/587,519/940

Given numbers are 26/701,56/587,519/940

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 26,56,519

Least Common Multiple of Numerators i.e. LCM of 26,56,519 is 377832.

GCF of Denominators means GCF of 701,587,940 as per the given fractions.

GCF of 701,587,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,56,519

LCM of Fractions 26/701,56/587,519/940 is 377832

2 26, 56, 519
13, 28, 519

∴ So the LCM of the given numbers is 2 x 13 x 28 x 519 = 377832

Least Common Multiple of 26,56,519 with GCF Formula

Least Common Multiple of 26,56,519 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 26,56,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,56,519) = 1

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

GCF(26,56,519) x common factors =1 x 2 = 2

LCM(26,56,519) = ( 26 × 56 × 519 ) / 2

LCM(26,56,519) = 755664 / 2

LCM(26,56,519) = 377832


Lets's calculate GCF of 701,587,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377832/1

Therefore the LCM of Fractions 26/701,56/587,519/940 is 377832

Greatest Common Factor of 701,587,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,587,940 By Matching Biggest Common Factor Method

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 701,587,940 . The biggest common factor number is the GCF number.
So the greatest common factor 701,587,940 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 26/701, 56/587, 519/940

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 26/701, 56/587, 519/940?

Answer: LCM of Numerators as per given numbers 26/701, 56/587, 519/940 is

LCM of Numerators i.e. for 26,56,519 is 377832

GCF of denominators i.e. for 701,587,940 is 1.

Thus, LCM of Fractions is 377832.Finally, LCM of Fractions for 26/701, 56/587, 519/940 is 377832.