Least Common Multiple of 694/644, 8754/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 694/644, 8754/538 quickly i.e. 1518819 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 694/644, 8754/538 is 1518819.

LCM(694/644, 8754/538) = 1518819

LCM of 694/644, 8754/538

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 694/644,8754/538

Given numbers are 694/644,8754/538

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 694,8754

Least Common Multiple of Numerators i.e. LCM of 694,8754 is 3037638.

GCF of Denominators means GCF of 644,538 as per the given fractions.

GCF of 644,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 694,8754

LCM of Fractions 694/644,8754/538 is 1518819

2 694, 8754
347, 4377

∴ So the LCM of the given numbers is 2 x 347 x 4377 = 3037638

Least Common Multiple of 694,8754 with GCF Formula

Least Common Multiple of 694,8754 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 694,8754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,8754) = 2

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

GCF(694,8754) x common factors =2 x 1 = 2

LCM(694,8754) = ( 694 × 8754 ) / 2

LCM(694,8754) = 6075276 / 2

LCM(694,8754) = 3037638


Lets's calculate GCF of 644,538

2 644, 538
322, 269

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3037638/2

Therefore the LCM of Fractions 694/644,8754/538 is 1518819

Greatest Common Factor of 644,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,538 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 644,538 . The biggest common factor number is the GCF number.
So the greatest common factor 644,538 is 2.


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 694/644, 8754/538

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 694/644, 8754/538?

Answer: LCM of Numerators as per given numbers 694/644, 8754/538 is

LCM of Numerators i.e. for 694,8754 is 3037638

GCF of denominators i.e. for 644,538 is 2.

Thus, LCM of Fractions is 1518819.Finally, LCM of Fractions for 694/644, 8754/538 is 1518819.