Least Common Multiple of 40/59, 50/73, 70/50, 26/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/59, 50/73, 70/50, 26/497 quickly i.e. 18200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/59, 50/73, 70/50, 26/497 is 18200.

LCM(40/59, 50/73, 70/50, 26/497) = 18200

LCM of 40/59, 50/73, 70/50, 26/497

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 40/59,50/73,70/50,26/497

Given numbers are 40/59,50/73,70/50,26/497

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 40,50,70,26

Least Common Multiple of Numerators i.e. LCM of 40,50,70,26 is 18200.

GCF of Denominators means GCF of 59,73,50,497 as per the given fractions.

GCF of 59,73,50,497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,50,70,26

LCM of Fractions 40/59,50/73,70/50,26/497 is 18200

2 40, 50, 70, 26
5 20, 25, 35, 13
4, 5, 7, 13

∴ So the LCM of the given numbers is 2 x 5 x 4 x 5 x 7 x 13 = 18200

Least Common Multiple of 40,50,70,26 with GCF Formula

Least Common Multiple of 40,50,70,26 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 40,50,70,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,50,70,26) = 2

common factors(in case of two or more numbers have common factors) = 100

GCF(40,50,70,26) x common factors =2 x 100 = 200

LCM(40,50,70,26) = ( 40 × 50 × 70 × 26 ) / 200

LCM(40,50,70,26) = 3640000 / 200

LCM(40,50,70,26) = 18200


Lets's calculate GCF of 59,73,50,497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18200/1

Therefore the LCM of Fractions 40/59,50/73,70/50,26/497 is 18200

Greatest Common Factor of 59,73,50,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,73,50,497 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 59,73,50,497 . The biggest common factor number is the GCF number.
So the greatest common factor 59,73,50,497 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 40/59, 50/73, 70/50, 26/497

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 40/59, 50/73, 70/50, 26/497?

Answer: LCM of Numerators as per given numbers 40/59, 50/73, 70/50, 26/497 is

LCM of Numerators i.e. for 40,50,70,26 is 18200

GCF of denominators i.e. for 59,73,50,497 is 1.

Thus, LCM of Fractions is 18200.Finally, LCM of Fractions for 40/59, 50/73, 70/50, 26/497 is 18200.