Least Common Multiple of 644/65, 722/9914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 644/65, 722/9914 quickly i.e. 232484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 644/65, 722/9914 is 232484.

LCM(644/65, 722/9914) = 232484

LCM of 644/65, 722/9914

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 644/65,722/9914

Given numbers are 644/65,722/9914

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 644,722

Least Common Multiple of Numerators i.e. LCM of 644,722 is 232484.

GCF of Denominators means GCF of 65,9914 as per the given fractions.

GCF of 65,9914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 644,722

LCM of Fractions 644/65,722/9914 is 232484

2 644, 722
322, 361

∴ So the LCM of the given numbers is 2 x 322 x 361 = 232484

Least Common Multiple of 644,722 with GCF Formula

Least Common Multiple of 644,722 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 644,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,722) = 2

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

GCF(644,722) x common factors =2 x 1 = 2

LCM(644,722) = ( 644 × 722 ) / 2

LCM(644,722) = 464968 / 2

LCM(644,722) = 232484


Lets's calculate GCF of 65,9914

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232484/1

Therefore the LCM of Fractions 644/65,722/9914 is 232484

Greatest Common Factor of 65,9914 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,9914 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 9914

List of positive integer factors of 9914 that divides 9914 without a remainder.

1,2,4957,9914

Greatest Common Factor

We found the factors 65,9914 . The biggest common factor number is the GCF number.
So the greatest common factor 65,9914 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 644/65, 722/9914

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 644/65, 722/9914?

Answer: LCM of Numerators as per given numbers 644/65, 722/9914 is

LCM of Numerators i.e. for 644,722 is 232484

GCF of denominators i.e. for 65,9914 is 1.

Thus, LCM of Fractions is 232484.Finally, LCM of Fractions for 644/65, 722/9914 is 232484.