Least Common Multiple of 26/87, 40/701, 543/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/87, 40/701, 543/341 quickly i.e. 282360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/87, 40/701, 543/341 is 282360.

LCM(26/87, 40/701, 543/341) = 282360

LCM of 26/87, 40/701, 543/341

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 26/87,40/701,543/341

Given numbers are 26/87,40/701,543/341

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 26,40,543

Least Common Multiple of Numerators i.e. LCM of 26,40,543 is 282360.

GCF of Denominators means GCF of 87,701,341 as per the given fractions.

GCF of 87,701,341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,40,543

LCM of Fractions 26/87,40/701,543/341 is 282360

2 26, 40, 543
13, 20, 543

∴ So the LCM of the given numbers is 2 x 13 x 20 x 543 = 282360

Least Common Multiple of 26,40,543 with GCF Formula

Least Common Multiple of 26,40,543 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 26,40,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,40,543) = 1

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

GCF(26,40,543) x common factors =1 x 2 = 2

LCM(26,40,543) = ( 26 × 40 × 543 ) / 2

LCM(26,40,543) = 564720 / 2

LCM(26,40,543) = 282360


Lets's calculate GCF of 87,701,341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282360/1

Therefore the LCM of Fractions 26/87,40/701,543/341 is 282360

Greatest Common Factor of 87,701,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,701,341 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 701

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

1,701

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 87,701,341 . The biggest common factor number is the GCF number.
So the greatest common factor 87,701,341 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 26/87, 40/701, 543/341

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 26/87, 40/701, 543/341?

Answer: LCM of Numerators as per given numbers 26/87, 40/701, 543/341 is

LCM of Numerators i.e. for 26,40,543 is 282360

GCF of denominators i.e. for 87,701,341 is 1.

Thus, LCM of Fractions is 282360.Finally, LCM of Fractions for 26/87, 40/701, 543/341 is 282360.