Least Common Multiple of 763/48, 884/82, 644/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/48, 884/82, 644/224 quickly i.e. 7756658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/48, 884/82, 644/224 is 7756658.

LCM(763/48, 884/82, 644/224) = 7756658

LCM of 763/48, 884/82, 644/224

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 763/48,884/82,644/224

Given numbers are 763/48,884/82,644/224

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 763,884,644

Least Common Multiple of Numerators i.e. LCM of 763,884,644 is 15513316.

GCF of Denominators means GCF of 48,82,224 as per the given fractions.

GCF of 48,82,224 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,884,644

LCM of Fractions 763/48,884/82,644/224 is 7756658

2 763, 884, 644
2 763, 442, 322
7 763, 221, 161
109, 221, 23

∴ So the LCM of the given numbers is 2 x 2 x 7 x 109 x 221 x 23 = 15513316

Least Common Multiple of 763,884,644 with GCF Formula

Least Common Multiple of 763,884,644 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 763,884,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,884,644) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(763,884,644) x common factors =1 x 28 = 28

LCM(763,884,644) = ( 763 × 884 × 644 ) / 28

LCM(763,884,644) = 434372848 / 28

LCM(763,884,644) = 15513316


Lets's calculate GCF of 48,82,224

2 48, 82, 224
24, 41, 112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15513316/2

Therefore the LCM of Fractions 763/48,884/82,644/224 is 7756658

Greatest Common Factor of 48,82,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,82,224 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 48,82,224 . The biggest common factor number is the GCF number.
So the greatest common factor 48,82,224 is 2.


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 763/48, 884/82, 644/224

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 763/48, 884/82, 644/224?

Answer: LCM of Numerators as per given numbers 763/48, 884/82, 644/224 is

LCM of Numerators i.e. for 763,884,644 is 15513316

GCF of denominators i.e. for 48,82,224 is 2.

Thus, LCM of Fractions is 7756658.Finally, LCM of Fractions for 763/48, 884/82, 644/224 is 7756658.