Least Common Multiple of 663/328, 780/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 663/328, 780/232 quickly i.e. 13260/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 663/328, 780/232 is 13260/8.

LCM(663/328, 780/232) = 13260/8

LCM of 663/328, 780/232

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 663/328,780/232

Given numbers are 663/328,780/232

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 663,780

Least Common Multiple of Numerators i.e. LCM of 663,780 is 13260.

GCF of Denominators means GCF of 328,232 as per the given fractions.

GCF of 328,232 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 663,780

LCM of Fractions 663/328,780/232 is 13260/8

3 663, 780
13 221, 260
17, 20

∴ So the LCM of the given numbers is 3 x 13 x 17 x 20 = 13260

Least Common Multiple of 663,780 with GCF Formula

Least Common Multiple of 663,780 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 663,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,780) = 39

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

GCF(663,780) x common factors =39 x 1 = 39

LCM(663,780) = ( 663 × 780 ) / 39

LCM(663,780) = 517140 / 39

LCM(663,780) = 13260


Lets's calculate GCF of 328,232

2 328, 232
2 164, 116
2 82, 58
41, 29

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13260/8

Therefore the LCM of Fractions 663/328,780/232 is 13260/8

Greatest Common Factor of 328,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,232 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 328,232 . The biggest common factor number is the GCF number.
So the greatest common factor 328,232 is 8.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 663/328, 780/232

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 663/328, 780/232?

Answer: LCM of Numerators as per given numbers 663/328, 780/232 is

LCM of Numerators i.e. for 663,780 is 13260

GCF of denominators i.e. for 328,232 is 8.

Thus, LCM of Fractions is 13260/8.Finally, LCM of Fractions for 663/328, 780/232 is 13260/8.