Least Common Multiple of 281/48, 364/4644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 281/48, 364/4644 quickly i.e. 102284/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 281/48, 364/4644 is 102284/12.

LCM(281/48, 364/4644) = 102284/12

LCM of 281/48, 364/4644

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 281/48,364/4644

Given numbers are 281/48,364/4644

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 281,364

Least Common Multiple of Numerators i.e. LCM of 281,364 is 102284.

GCF of Denominators means GCF of 48,4644 as per the given fractions.

GCF of 48,4644 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 281,364

LCM of Fractions 281/48,364/4644 is 102284/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 102284

Least Common Multiple of 281,364 with GCF Formula

Least Common Multiple of 281,364 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 281,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,364) = 1

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

GCF(281,364) x common factors =1 x 1 = 1

LCM(281,364) = ( 281 × 364 ) / 1

LCM(281,364) = 102284 / 1

LCM(281,364) = 102284


Lets's calculate GCF of 48,4644

2 48, 4644
2 24, 2322
3 12, 1161
4, 387

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102284/12

Therefore the LCM of Fractions 281/48,364/4644 is 102284/12

Greatest Common Factor of 48,4644 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,4644 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 4644

List of positive integer factors of 4644 that divides 4644 without a remainder.

1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644

Greatest Common Factor

We found the factors 48,4644 . The biggest common factor number is the GCF number.
So the greatest common factor 48,4644 is 12.


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 281/48, 364/4644

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 281/48, 364/4644?

Answer: LCM of Numerators as per given numbers 281/48, 364/4644 is

LCM of Numerators i.e. for 281,364 is 102284

GCF of denominators i.e. for 48,4644 is 12.

Thus, LCM of Fractions is 102284/12.Finally, LCM of Fractions for 281/48, 364/4644 is 102284/12.