Least Common Multiple of 765/78, 733/1047

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/78, 733/1047 quickly i.e. 186915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/78, 733/1047 is 186915.

LCM(765/78, 733/1047) = 186915

LCM of 765/78, 733/1047

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 765/78,733/1047

Given numbers are 765/78,733/1047

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 765,733

Least Common Multiple of Numerators i.e. LCM of 765,733 is 560745.

GCF of Denominators means GCF of 78,1047 as per the given fractions.

GCF of 78,1047 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,733

LCM of Fractions 765/78,733/1047 is 186915

Given numbers has no common factors except 1. So, there LCM is their product i.e 560745

Least Common Multiple of 765,733 with GCF Formula

Least Common Multiple of 765,733 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 765,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,733) = 1

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

GCF(765,733) x common factors =1 x 1 = 1

LCM(765,733) = ( 765 × 733 ) / 1

LCM(765,733) = 560745 / 1

LCM(765,733) = 560745


Lets's calculate GCF of 78,1047

3 78, 1047
26, 349

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 560745/3

Therefore the LCM of Fractions 765/78,733/1047 is 186915

Greatest Common Factor of 78,1047 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,1047 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 1047

List of positive integer factors of 1047 that divides 1047 without a remainder.

1,3,349,1047

Greatest Common Factor

We found the factors 78,1047 . The biggest common factor number is the GCF number.
So the greatest common factor 78,1047 is 3.


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 765/78, 733/1047

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 765/78, 733/1047?

Answer: LCM of Numerators as per given numbers 765/78, 733/1047 is

LCM of Numerators i.e. for 765,733 is 560745

GCF of denominators i.e. for 78,1047 is 3.

Thus, LCM of Fractions is 186915.Finally, LCM of Fractions for 765/78, 733/1047 is 186915.