Least Common Multiple of 13/23, 95/80, 78/74, 22/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/23, 95/80, 78/74, 22/750 quickly i.e. 81510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/23, 95/80, 78/74, 22/750 is 81510.

LCM(13/23, 95/80, 78/74, 22/750) = 81510

LCM of 13/23, 95/80, 78/74, 22/750

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 13/23,95/80,78/74,22/750

Given numbers are 13/23,95/80,78/74,22/750

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 13,95,78,22

Least Common Multiple of Numerators i.e. LCM of 13,95,78,22 is 81510.

GCF of Denominators means GCF of 23,80,74,750 as per the given fractions.

GCF of 23,80,74,750 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,95,78,22

LCM of Fractions 13/23,95/80,78/74,22/750 is 81510

2 13, 95, 78, 22
13 13, 95, 39, 11
1, 95, 3, 11

∴ So the LCM of the given numbers is 2 x 13 x 1 x 95 x 3 x 11 = 81510

Least Common Multiple of 13,95,78,22 with GCF Formula

Least Common Multiple of 13,95,78,22 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 13,95,78,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,95,78,22) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(13,95,78,22) x common factors =1 x 26 = 26

LCM(13,95,78,22) = ( 13 × 95 × 78 × 22 ) / 26

LCM(13,95,78,22) = 2119260 / 26

LCM(13,95,78,22) = 81510


Lets's calculate GCF of 23,80,74,750

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81510/1

Therefore the LCM of Fractions 13/23,95/80,78/74,22/750 is 81510

Greatest Common Factor of 23,80,74,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,80,74,750 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 23,80,74,750 . The biggest common factor number is the GCF number.
So the greatest common factor 23,80,74,750 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 13/23, 95/80, 78/74, 22/750

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 13/23, 95/80, 78/74, 22/750?

Answer: LCM of Numerators as per given numbers 13/23, 95/80, 78/74, 22/750 is

LCM of Numerators i.e. for 13,95,78,22 is 81510

GCF of denominators i.e. for 23,80,74,750 is 1.

Thus, LCM of Fractions is 81510.Finally, LCM of Fractions for 13/23, 95/80, 78/74, 22/750 is 81510.