Least Common Multiple of 47/25, 23/86, 92/56, 24/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/25, 23/86, 92/56, 24/861 quickly i.e. 25944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/25, 23/86, 92/56, 24/861 is 25944.

LCM(47/25, 23/86, 92/56, 24/861) = 25944

LCM of 47/25, 23/86, 92/56, 24/861

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 47/25,23/86,92/56,24/861

Given numbers are 47/25,23/86,92/56,24/861

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 47,23,92,24

Least Common Multiple of Numerators i.e. LCM of 47,23,92,24 is 25944.

GCF of Denominators means GCF of 25,86,56,861 as per the given fractions.

GCF of 25,86,56,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,23,92,24

LCM of Fractions 47/25,23/86,92/56,24/861 is 25944

2 47, 23, 92, 24
2 47, 23, 46, 12
23 47, 23, 23, 6
47, 1, 1, 6

∴ So the LCM of the given numbers is 2 x 2 x 23 x 47 x 1 x 1 x 6 = 25944

Least Common Multiple of 47,23,92,24 with GCF Formula

Least Common Multiple of 47,23,92,24 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 47,23,92,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,23,92,24) = 1

common factors(in case of two or more numbers have common factors) = 92

GCF(47,23,92,24) x common factors =1 x 92 = 92

LCM(47,23,92,24) = ( 47 × 23 × 92 × 24 ) / 92

LCM(47,23,92,24) = 2386848 / 92

LCM(47,23,92,24) = 25944


Lets's calculate GCF of 25,86,56,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25944/1

Therefore the LCM of Fractions 47/25,23/86,92/56,24/861 is 25944

Greatest Common Factor of 25,86,56,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,86,56,861 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 25,86,56,861 . The biggest common factor number is the GCF number.
So the greatest common factor 25,86,56,861 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 47/25, 23/86, 92/56, 24/861

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 47/25, 23/86, 92/56, 24/861?

Answer: LCM of Numerators as per given numbers 47/25, 23/86, 92/56, 24/861 is

LCM of Numerators i.e. for 47,23,92,24 is 25944

GCF of denominators i.e. for 25,86,56,861 is 1.

Thus, LCM of Fractions is 25944.Finally, LCM of Fractions for 47/25, 23/86, 92/56, 24/861 is 25944.