Least Common Multiple of 397/744, 7110/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/744, 7110/687 quickly i.e. 940890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/744, 7110/687 is 940890.

LCM(397/744, 7110/687) = 940890

LCM of 397/744, 7110/687

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 397/744,7110/687

Given numbers are 397/744,7110/687

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 397,7110

Least Common Multiple of Numerators i.e. LCM of 397,7110 is 2822670.

GCF of Denominators means GCF of 744,687 as per the given fractions.

GCF of 744,687 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,7110

LCM of Fractions 397/744,7110/687 is 940890

Given numbers has no common factors except 1. So, there LCM is their product i.e 2822670

Least Common Multiple of 397,7110 with GCF Formula

Least Common Multiple of 397,7110 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 397,7110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,7110) = 1

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

GCF(397,7110) x common factors =1 x 1 = 1

LCM(397,7110) = ( 397 × 7110 ) / 1

LCM(397,7110) = 2822670 / 1

LCM(397,7110) = 2822670


Lets's calculate GCF of 744,687

3 744, 687
248, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2822670/3

Therefore the LCM of Fractions 397/744,7110/687 is 940890

Greatest Common Factor of 744,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,687 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 744,687 . The biggest common factor number is the GCF number.
So the greatest common factor 744,687 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 397/744, 7110/687

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 397/744, 7110/687?

Answer: LCM of Numerators as per given numbers 397/744, 7110/687 is

LCM of Numerators i.e. for 397,7110 is 2822670

GCF of denominators i.e. for 744,687 is 3.

Thus, LCM of Fractions is 940890.Finally, LCM of Fractions for 397/744, 7110/687 is 940890.