Least Common Multiple of 3632/287, 9278/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3632/287, 9278/123 quickly i.e. 16848848/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3632/287, 9278/123 is 16848848/41.

LCM(3632/287, 9278/123) = 16848848/41

LCM of 3632/287, 9278/123

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 3632/287,9278/123

Given numbers are 3632/287,9278/123

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 3632,9278

Least Common Multiple of Numerators i.e. LCM of 3632,9278 is 16848848.

GCF of Denominators means GCF of 287,123 as per the given fractions.

GCF of 287,123 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3632,9278

LCM of Fractions 3632/287,9278/123 is 16848848/41

2 3632, 9278
1816, 4639

∴ So the LCM of the given numbers is 2 x 1816 x 4639 = 16848848

Least Common Multiple of 3632,9278 with GCF Formula

Least Common Multiple of 3632,9278 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 3632,9278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3632,9278) = 2

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

GCF(3632,9278) x common factors =2 x 1 = 2

LCM(3632,9278) = ( 3632 × 9278 ) / 2

LCM(3632,9278) = 33697696 / 2

LCM(3632,9278) = 16848848


Lets's calculate GCF of 287,123

41 287, 123
7, 3

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16848848/41

Therefore the LCM of Fractions 3632/287,9278/123 is 16848848/41

Greatest Common Factor of 287,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,123 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 287,123 . The biggest common factor number is the GCF number.
So the greatest common factor 287,123 is 41.


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 3632/287, 9278/123

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 3632/287, 9278/123?

Answer: LCM of Numerators as per given numbers 3632/287, 9278/123 is

LCM of Numerators i.e. for 3632,9278 is 16848848

GCF of denominators i.e. for 287,123 is 41.

Thus, LCM of Fractions is 16848848/41.Finally, LCM of Fractions for 3632/287, 9278/123 is 16848848/41.