Least Common Multiple of 26/53, 32/71, 91/77, 76/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/53, 32/71, 91/77, 76/383 quickly i.e. 55328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/53, 32/71, 91/77, 76/383 is 55328.

LCM(26/53, 32/71, 91/77, 76/383) = 55328

LCM of 26/53, 32/71, 91/77, 76/383

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 26/53,32/71,91/77,76/383

Given numbers are 26/53,32/71,91/77,76/383

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 26,32,91,76

Least Common Multiple of Numerators i.e. LCM of 26,32,91,76 is 55328.

GCF of Denominators means GCF of 53,71,77,383 as per the given fractions.

GCF of 53,71,77,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,32,91,76

LCM of Fractions 26/53,32/71,91/77,76/383 is 55328

2 26, 32, 91, 76
2 13, 16, 91, 38
13 13, 8, 91, 19
1, 8, 7, 19

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 8 x 7 x 19 = 55328

Least Common Multiple of 26,32,91,76 with GCF Formula

Least Common Multiple of 26,32,91,76 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 26,32,91,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,32,91,76) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(26,32,91,76) x common factors =1 x 104 = 104

LCM(26,32,91,76) = ( 26 × 32 × 91 × 76 ) / 104

LCM(26,32,91,76) = 5754112 / 104

LCM(26,32,91,76) = 55328


Lets's calculate GCF of 53,71,77,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55328/1

Therefore the LCM of Fractions 26/53,32/71,91/77,76/383 is 55328

Greatest Common Factor of 53,71,77,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,71,77,383 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 53,71,77,383 . The biggest common factor number is the GCF number.
So the greatest common factor 53,71,77,383 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 26/53, 32/71, 91/77, 76/383

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 26/53, 32/71, 91/77, 76/383?

Answer: LCM of Numerators as per given numbers 26/53, 32/71, 91/77, 76/383 is

LCM of Numerators i.e. for 26,32,91,76 is 55328

GCF of denominators i.e. for 53,71,77,383 is 1.

Thus, LCM of Fractions is 55328.Finally, LCM of Fractions for 26/53, 32/71, 91/77, 76/383 is 55328.