Least Common Multiple of 61/75, 92/26, 19/76, 23/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/75, 92/26, 19/76, 23/809 quickly i.e. 106628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/75, 92/26, 19/76, 23/809 is 106628.

LCM(61/75, 92/26, 19/76, 23/809) = 106628

LCM of 61/75, 92/26, 19/76, 23/809

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 61/75,92/26,19/76,23/809

Given numbers are 61/75,92/26,19/76,23/809

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 61,92,19,23

Least Common Multiple of Numerators i.e. LCM of 61,92,19,23 is 106628.

GCF of Denominators means GCF of 75,26,76,809 as per the given fractions.

GCF of 75,26,76,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,92,19,23

LCM of Fractions 61/75,92/26,19/76,23/809 is 106628

23 61, 92, 19, 23
61, 4, 19, 1

∴ So the LCM of the given numbers is 23 x 61 x 4 x 19 x 1 = 106628

Least Common Multiple of 61,92,19,23 with GCF Formula

Least Common Multiple of 61,92,19,23 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 61,92,19,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,92,19,23) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(61,92,19,23) x common factors =1 x 23 = 23

LCM(61,92,19,23) = ( 61 × 92 × 19 × 23 ) / 23

LCM(61,92,19,23) = 2452444 / 23

LCM(61,92,19,23) = 106628


Lets's calculate GCF of 75,26,76,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106628/1

Therefore the LCM of Fractions 61/75,92/26,19/76,23/809 is 106628

Greatest Common Factor of 75,26,76,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,26,76,809 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 26

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

1,2,13,26

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 75,26,76,809 . The biggest common factor number is the GCF number.
So the greatest common factor 75,26,76,809 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 61/75, 92/26, 19/76, 23/809

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 61/75, 92/26, 19/76, 23/809?

Answer: LCM of Numerators as per given numbers 61/75, 92/26, 19/76, 23/809 is

LCM of Numerators i.e. for 61,92,19,23 is 106628

GCF of denominators i.e. for 75,26,76,809 is 1.

Thus, LCM of Fractions is 106628.Finally, LCM of Fractions for 61/75, 92/26, 19/76, 23/809 is 106628.