Least Common Multiple of 23/10, 40/80, 44/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/10, 40/80, 44/278 quickly i.e. 5060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/10, 40/80, 44/278 is 5060.

LCM(23/10, 40/80, 44/278) = 5060

LCM of 23/10, 40/80, 44/278

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 23/10,40/80,44/278

Given numbers are 23/10,40/80,44/278

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 23,40,44

Least Common Multiple of Numerators i.e. LCM of 23,40,44 is 10120.

GCF of Denominators means GCF of 10,80,278 as per the given fractions.

GCF of 10,80,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,40,44

LCM of Fractions 23/10,40/80,44/278 is 5060

2 23, 40, 44
2 23, 20, 22
23, 10, 11

∴ So the LCM of the given numbers is 2 x 2 x 23 x 10 x 11 = 10120

Least Common Multiple of 23,40,44 with GCF Formula

Least Common Multiple of 23,40,44 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 23,40,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,40,44) = 1

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

GCF(23,40,44) x common factors =1 x 4 = 4

LCM(23,40,44) = ( 23 × 40 × 44 ) / 4

LCM(23,40,44) = 40480 / 4

LCM(23,40,44) = 10120


Lets's calculate GCF of 10,80,278

2 10, 80, 278
5, 40, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10120/2

Therefore the LCM of Fractions 23/10,40/80,44/278 is 5060

Greatest Common Factor of 10,80,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,80,278 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

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 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 10,80,278 . The biggest common factor number is the GCF number.
So the greatest common factor 10,80,278 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 23/10, 40/80, 44/278

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 23/10, 40/80, 44/278?

Answer: LCM of Numerators as per given numbers 23/10, 40/80, 44/278 is

LCM of Numerators i.e. for 23,40,44 is 10120

GCF of denominators i.e. for 10,80,278 is 2.

Thus, LCM of Fractions is 5060.Finally, LCM of Fractions for 23/10, 40/80, 44/278 is 5060.