Least Common Multiple of 26/428, 87/586, 453/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/428, 87/586, 453/492 quickly i.e. 170781 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/428, 87/586, 453/492 is 170781.

LCM(26/428, 87/586, 453/492) = 170781

LCM of 26/428, 87/586, 453/492

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 26/428,87/586,453/492

Given numbers are 26/428,87/586,453/492

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 26,87,453

Least Common Multiple of Numerators i.e. LCM of 26,87,453 is 341562.

GCF of Denominators means GCF of 428,586,492 as per the given fractions.

GCF of 428,586,492 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,87,453

LCM of Fractions 26/428,87/586,453/492 is 170781

3 26, 87, 453
26, 29, 151

∴ So the LCM of the given numbers is 3 x 26 x 29 x 151 = 341562

Least Common Multiple of 26,87,453 with GCF Formula

Least Common Multiple of 26,87,453 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 26,87,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,87,453) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(26,87,453) x common factors =1 x 3 = 3

LCM(26,87,453) = ( 26 × 87 × 453 ) / 3

LCM(26,87,453) = 1024686 / 3

LCM(26,87,453) = 341562


Lets's calculate GCF of 428,586,492

2 428, 586, 492
214, 293, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341562/2

Therefore the LCM of Fractions 26/428,87/586,453/492 is 170781

Greatest Common Factor of 428,586,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,586,492 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 428,586,492 . The biggest common factor number is the GCF number.
So the greatest common factor 428,586,492 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 26/428, 87/586, 453/492

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 26/428, 87/586, 453/492?

Answer: LCM of Numerators as per given numbers 26/428, 87/586, 453/492 is

LCM of Numerators i.e. for 26,87,453 is 341562

GCF of denominators i.e. for 428,586,492 is 2.

Thus, LCM of Fractions is 170781.Finally, LCM of Fractions for 26/428, 87/586, 453/492 is 170781.