Least Common Multiple of 26/67, 72/910, 727/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/67, 72/910, 727/677 quickly i.e. 680472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/67, 72/910, 727/677 is 680472.

LCM(26/67, 72/910, 727/677) = 680472

LCM of 26/67, 72/910, 727/677

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 26/67,72/910,727/677

Given numbers are 26/67,72/910,727/677

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 26,72,727

Least Common Multiple of Numerators i.e. LCM of 26,72,727 is 680472.

GCF of Denominators means GCF of 67,910,677 as per the given fractions.

GCF of 67,910,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,72,727

LCM of Fractions 26/67,72/910,727/677 is 680472

2 26, 72, 727
13, 36, 727

∴ So the LCM of the given numbers is 2 x 13 x 36 x 727 = 680472

Least Common Multiple of 26,72,727 with GCF Formula

Least Common Multiple of 26,72,727 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 26,72,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,72,727) = 1

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

GCF(26,72,727) x common factors =1 x 2 = 2

LCM(26,72,727) = ( 26 × 72 × 727 ) / 2

LCM(26,72,727) = 1360944 / 2

LCM(26,72,727) = 680472


Lets's calculate GCF of 67,910,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 680472/1

Therefore the LCM of Fractions 26/67,72/910,727/677 is 680472

Greatest Common Factor of 67,910,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,910,677 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 67,910,677 . The biggest common factor number is the GCF number.
So the greatest common factor 67,910,677 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 26/67, 72/910, 727/677

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 26/67, 72/910, 727/677?

Answer: LCM of Numerators as per given numbers 26/67, 72/910, 727/677 is

LCM of Numerators i.e. for 26,72,727 is 680472

GCF of denominators i.e. for 67,910,677 is 1.

Thus, LCM of Fractions is 680472.Finally, LCM of Fractions for 26/67, 72/910, 727/677 is 680472.