Least Common Multiple of 47/48, 914/95, 471/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/48, 914/95, 471/845 quickly i.e. 20233218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/48, 914/95, 471/845 is 20233218.

LCM(47/48, 914/95, 471/845) = 20233218

LCM of 47/48, 914/95, 471/845

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 47/48,914/95,471/845

Given numbers are 47/48,914/95,471/845

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 47,914,471

Least Common Multiple of Numerators i.e. LCM of 47,914,471 is 20233218.

GCF of Denominators means GCF of 48,95,845 as per the given fractions.

GCF of 48,95,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,914,471

LCM of Fractions 47/48,914/95,471/845 is 20233218

Given numbers has no common factors except 1. So, there LCM is their product i.e 20233218

Least Common Multiple of 47,914,471 with GCF Formula

Least Common Multiple of 47,914,471 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 47,914,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,914,471) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,914,471) x common factors =1 x 1 = 1

LCM(47,914,471) = ( 47 × 914 × 471 ) / 1

LCM(47,914,471) = 20233218 / 1

LCM(47,914,471) = 20233218


Lets's calculate GCF of 48,95,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20233218/1

Therefore the LCM of Fractions 47/48,914/95,471/845 is 20233218

Greatest Common Factor of 48,95,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,95,845 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 48,95,845 . The biggest common factor number is the GCF number.
So the greatest common factor 48,95,845 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 47/48, 914/95, 471/845

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 47/48, 914/95, 471/845?

Answer: LCM of Numerators as per given numbers 47/48, 914/95, 471/845 is

LCM of Numerators i.e. for 47,914,471 is 20233218

GCF of denominators i.e. for 48,95,845 is 1.

Thus, LCM of Fractions is 20233218.Finally, LCM of Fractions for 47/48, 914/95, 471/845 is 20233218.