Least Common Multiple of 26/23, 25/92, 50/98, 40/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/23, 25/92, 50/98, 40/583 quickly i.e. 2600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/23, 25/92, 50/98, 40/583 is 2600.

LCM(26/23, 25/92, 50/98, 40/583) = 2600

LCM of 26/23, 25/92, 50/98, 40/583

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 26/23,25/92,50/98,40/583

Given numbers are 26/23,25/92,50/98,40/583

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 26,25,50,40

Least Common Multiple of Numerators i.e. LCM of 26,25,50,40 is 2600.

GCF of Denominators means GCF of 23,92,98,583 as per the given fractions.

GCF of 23,92,98,583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,25,50,40

LCM of Fractions 26/23,25/92,50/98,40/583 is 2600

2 26, 25, 50, 40
5 13, 25, 25, 20
5 13, 5, 5, 4
13, 1, 1, 4

∴ So the LCM of the given numbers is 2 x 5 x 5 x 13 x 1 x 1 x 4 = 2600

Least Common Multiple of 26,25,50,40 with GCF Formula

Least Common Multiple of 26,25,50,40 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 26,25,50,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,25,50,40) = 1

common factors(in case of two or more numbers have common factors) = 500

GCF(26,25,50,40) x common factors =1 x 500 = 500

LCM(26,25,50,40) = ( 26 × 25 × 50 × 40 ) / 500

LCM(26,25,50,40) = 1300000 / 500

LCM(26,25,50,40) = 2600


Lets's calculate GCF of 23,92,98,583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2600/1

Therefore the LCM of Fractions 26/23,25/92,50/98,40/583 is 2600

Greatest Common Factor of 23,92,98,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,92,98,583 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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 23,92,98,583 . The biggest common factor number is the GCF number.
So the greatest common factor 23,92,98,583 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/23, 25/92, 50/98, 40/583

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 26/23, 25/92, 50/98, 40/583?

Answer: LCM of Numerators as per given numbers 26/23, 25/92, 50/98, 40/583 is

LCM of Numerators i.e. for 26,25,50,40 is 2600

GCF of denominators i.e. for 23,92,98,583 is 1.

Thus, LCM of Fractions is 2600.Finally, LCM of Fractions for 26/23, 25/92, 50/98, 40/583 is 2600.