Least Common Multiple of 318/48, 447/2722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 318/48, 447/2722 quickly i.e. 23691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/48, 447/2722 is 23691.

LCM(318/48, 447/2722) = 23691

LCM of 318/48, 447/2722

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 318/48,447/2722

Given numbers are 318/48,447/2722

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 318,447

Least Common Multiple of Numerators i.e. LCM of 318,447 is 47382.

GCF of Denominators means GCF of 48,2722 as per the given fractions.

GCF of 48,2722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,447

LCM of Fractions 318/48,447/2722 is 23691

3 318, 447
106, 149

∴ So the LCM of the given numbers is 3 x 106 x 149 = 47382

Least Common Multiple of 318,447 with GCF Formula

Least Common Multiple of 318,447 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 318,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,447) = 3

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

GCF(318,447) x common factors =3 x 1 = 3

LCM(318,447) = ( 318 × 447 ) / 3

LCM(318,447) = 142146 / 3

LCM(318,447) = 47382


Lets's calculate GCF of 48,2722

2 48, 2722
24, 1361

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47382/2

Therefore the LCM of Fractions 318/48,447/2722 is 23691

Greatest Common Factor of 48,2722 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,2722 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 2722

List of positive integer factors of 2722 that divides 2722 without a remainder.

1,2,1361,2722

Greatest Common Factor

We found the factors 48,2722 . The biggest common factor number is the GCF number.
So the greatest common factor 48,2722 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 318/48, 447/2722

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 318/48, 447/2722?

Answer: LCM of Numerators as per given numbers 318/48, 447/2722 is

LCM of Numerators i.e. for 318,447 is 47382

GCF of denominators i.e. for 48,2722 is 2.

Thus, LCM of Fractions is 23691.Finally, LCM of Fractions for 318/48, 447/2722 is 23691.