Least Common Multiple of 26/704, 23/768, 713/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/704, 23/768, 713/977 quickly i.e. 18538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/704, 23/768, 713/977 is 18538.

LCM(26/704, 23/768, 713/977) = 18538

LCM of 26/704, 23/768, 713/977

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 26/704,23/768,713/977

Given numbers are 26/704,23/768,713/977

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 26,23,713

Least Common Multiple of Numerators i.e. LCM of 26,23,713 is 18538.

GCF of Denominators means GCF of 704,768,977 as per the given fractions.

GCF of 704,768,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,23,713

LCM of Fractions 26/704,23/768,713/977 is 18538

23 26, 23, 713
26, 1, 31

∴ So the LCM of the given numbers is 23 x 26 x 1 x 31 = 18538

Least Common Multiple of 26,23,713 with GCF Formula

Least Common Multiple of 26,23,713 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 26,23,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,23,713) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(26,23,713) x common factors =1 x 23 = 23

LCM(26,23,713) = ( 26 × 23 × 713 ) / 23

LCM(26,23,713) = 426374 / 23

LCM(26,23,713) = 18538


Lets's calculate GCF of 704,768,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18538/1

Therefore the LCM of Fractions 26/704,23/768,713/977 is 18538

Greatest Common Factor of 704,768,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,768,977 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 704,768,977 . The biggest common factor number is the GCF number.
So the greatest common factor 704,768,977 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 26/704, 23/768, 713/977

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 26/704, 23/768, 713/977?

Answer: LCM of Numerators as per given numbers 26/704, 23/768, 713/977 is

LCM of Numerators i.e. for 26,23,713 is 18538

GCF of denominators i.e. for 704,768,977 is 1.

Thus, LCM of Fractions is 18538.Finally, LCM of Fractions for 26/704, 23/768, 713/977 is 18538.