Least Common Multiple of 232/10, 443/54, 994/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 232/10, 443/54, 994/747 quickly i.e. 51079672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 232/10, 443/54, 994/747 is 51079672.

LCM(232/10, 443/54, 994/747) = 51079672

LCM of 232/10, 443/54, 994/747

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 232/10,443/54,994/747

Given numbers are 232/10,443/54,994/747

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 232,443,994

Least Common Multiple of Numerators i.e. LCM of 232,443,994 is 51079672.

GCF of Denominators means GCF of 10,54,747 as per the given fractions.

GCF of 10,54,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 232,443,994

LCM of Fractions 232/10,443/54,994/747 is 51079672

2 232, 443, 994
116, 443, 497

∴ So the LCM of the given numbers is 2 x 116 x 443 x 497 = 51079672

Least Common Multiple of 232,443,994 with GCF Formula

Least Common Multiple of 232,443,994 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 232,443,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,443,994) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(232,443,994) x common factors =1 x 2 = 2

LCM(232,443,994) = ( 232 × 443 × 994 ) / 2

LCM(232,443,994) = 102159344 / 2

LCM(232,443,994) = 51079672


Lets's calculate GCF of 10,54,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51079672/1

Therefore the LCM of Fractions 232/10,443/54,994/747 is 51079672

Greatest Common Factor of 10,54,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,54,747 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 10,54,747 . The biggest common factor number is the GCF number.
So the greatest common factor 10,54,747 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 232/10, 443/54, 994/747

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 232/10, 443/54, 994/747?

Answer: LCM of Numerators as per given numbers 232/10, 443/54, 994/747 is

LCM of Numerators i.e. for 232,443,994 is 51079672

GCF of denominators i.e. for 10,54,747 is 1.

Thus, LCM of Fractions is 51079672.Finally, LCM of Fractions for 232/10, 443/54, 994/747 is 51079672.