Least Common Multiple of 544/702, 687/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/702, 687/789 quickly i.e. 124576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/702, 687/789 is 124576.

LCM(544/702, 687/789) = 124576

LCM of 544/702, 687/789

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 544/702,687/789

Given numbers are 544/702,687/789

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 544,687

Least Common Multiple of Numerators i.e. LCM of 544,687 is 373728.

GCF of Denominators means GCF of 702,789 as per the given fractions.

GCF of 702,789 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,687

LCM of Fractions 544/702,687/789 is 124576

Given numbers has no common factors except 1. So, there LCM is their product i.e 373728

Least Common Multiple of 544,687 with GCF Formula

Least Common Multiple of 544,687 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 544,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,687) = 1

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

GCF(544,687) x common factors =1 x 1 = 1

LCM(544,687) = ( 544 × 687 ) / 1

LCM(544,687) = 373728 / 1

LCM(544,687) = 373728


Lets's calculate GCF of 702,789

3 702, 789
234, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373728/3

Therefore the LCM of Fractions 544/702,687/789 is 124576

Greatest Common Factor of 702,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,789 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 702,789 . The biggest common factor number is the GCF number.
So the greatest common factor 702,789 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 544/702, 687/789

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 544/702, 687/789?

Answer: LCM of Numerators as per given numbers 544/702, 687/789 is

LCM of Numerators i.e. for 544,687 is 373728

GCF of denominators i.e. for 702,789 is 3.

Thus, LCM of Fractions is 124576.Finally, LCM of Fractions for 544/702, 687/789 is 124576.