Least Common Multiple of 732/363, 278/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/363, 278/869 quickly i.e. 101748/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/363, 278/869 is 101748/11.

LCM(732/363, 278/869) = 101748/11

LCM of 732/363, 278/869

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 732/363,278/869

Given numbers are 732/363,278/869

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 732,278

Least Common Multiple of Numerators i.e. LCM of 732,278 is 101748.

GCF of Denominators means GCF of 363,869 as per the given fractions.

GCF of 363,869 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,278

LCM of Fractions 732/363,278/869 is 101748/11

2 732, 278
366, 139

∴ So the LCM of the given numbers is 2 x 366 x 139 = 101748

Least Common Multiple of 732,278 with GCF Formula

Least Common Multiple of 732,278 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 732,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,278) = 2

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

GCF(732,278) x common factors =2 x 1 = 2

LCM(732,278) = ( 732 × 278 ) / 2

LCM(732,278) = 203496 / 2

LCM(732,278) = 101748


Lets's calculate GCF of 363,869

11 363, 869
33, 79

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101748/11

Therefore the LCM of Fractions 732/363,278/869 is 101748/11

Greatest Common Factor of 363,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,869 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 363,869 . The biggest common factor number is the GCF number.
So the greatest common factor 363,869 is 11.


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 732/363, 278/869

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 732/363, 278/869?

Answer: LCM of Numerators as per given numbers 732/363, 278/869 is

LCM of Numerators i.e. for 732,278 is 101748

GCF of denominators i.e. for 363,869 is 11.

Thus, LCM of Fractions is 101748/11.Finally, LCM of Fractions for 732/363, 278/869 is 101748/11.