Least Common Multiple of 7/26, 8/32, 23/58, 44/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/26, 8/32, 23/58, 44/760 quickly i.e. 7084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/26, 8/32, 23/58, 44/760 is 7084.

LCM(7/26, 8/32, 23/58, 44/760) = 7084

LCM of 7/26, 8/32, 23/58, 44/760

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 7/26,8/32,23/58,44/760

Given numbers are 7/26,8/32,23/58,44/760

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 7,8,23,44

Least Common Multiple of Numerators i.e. LCM of 7,8,23,44 is 14168.

GCF of Denominators means GCF of 26,32,58,760 as per the given fractions.

GCF of 26,32,58,760 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,8,23,44

LCM of Fractions 7/26,8/32,23/58,44/760 is 7084

2 7, 8, 23, 44
2 7, 4, 23, 22
7, 2, 23, 11

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 23 x 11 = 14168

Least Common Multiple of 7,8,23,44 with GCF Formula

Least Common Multiple of 7,8,23,44 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 7,8,23,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,8,23,44) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(7,8,23,44) x common factors =1 x 4 = 4

LCM(7,8,23,44) = ( 7 × 8 × 23 × 44 ) / 4

LCM(7,8,23,44) = 56672 / 4

LCM(7,8,23,44) = 14168


Lets's calculate GCF of 26,32,58,760

2 26, 32, 58, 760
13, 16, 29, 380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14168/2

Therefore the LCM of Fractions 7/26,8/32,23/58,44/760 is 7084

Greatest Common Factor of 26,32,58,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,32,58,760 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 26,32,58,760 . The biggest common factor number is the GCF number.
So the greatest common factor 26,32,58,760 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 7/26, 8/32, 23/58, 44/760

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 7/26, 8/32, 23/58, 44/760?

Answer: LCM of Numerators as per given numbers 7/26, 8/32, 23/58, 44/760 is

LCM of Numerators i.e. for 7,8,23,44 is 14168

GCF of denominators i.e. for 26,32,58,760 is 2.

Thus, LCM of Fractions is 7084.Finally, LCM of Fractions for 7/26, 8/32, 23/58, 44/760 is 7084.