Least Common Multiple of 651/313, 9249/5929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 651/313, 9249/5929 quickly i.e. 2007033 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 651/313, 9249/5929 is 2007033.

LCM(651/313, 9249/5929) = 2007033

LCM of 651/313, 9249/5929

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 651/313,9249/5929

Given numbers are 651/313,9249/5929

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 651,9249

Least Common Multiple of Numerators i.e. LCM of 651,9249 is 2007033.

GCF of Denominators means GCF of 313,5929 as per the given fractions.

GCF of 313,5929 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 651,9249

LCM of Fractions 651/313,9249/5929 is 2007033

3 651, 9249
217, 3083

∴ So the LCM of the given numbers is 3 x 217 x 3083 = 2007033

Least Common Multiple of 651,9249 with GCF Formula

Least Common Multiple of 651,9249 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 651,9249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,9249) = 3

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

GCF(651,9249) x common factors =3 x 1 = 3

LCM(651,9249) = ( 651 × 9249 ) / 3

LCM(651,9249) = 6021099 / 3

LCM(651,9249) = 2007033


Lets's calculate GCF of 313,5929

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2007033/1

Therefore the LCM of Fractions 651/313,9249/5929 is 2007033

Greatest Common Factor of 313,5929 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,5929 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 5929

List of positive integer factors of 5929 that divides 5929 without a remainder.

1,7,11,49,77,121,539,847,5929

Greatest Common Factor

We found the factors 313,5929 . The biggest common factor number is the GCF number.
So the greatest common factor 313,5929 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 651/313, 9249/5929

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 651/313, 9249/5929?

Answer: LCM of Numerators as per given numbers 651/313, 9249/5929 is

LCM of Numerators i.e. for 651,9249 is 2007033

GCF of denominators i.e. for 313,5929 is 1.

Thus, LCM of Fractions is 2007033.Finally, LCM of Fractions for 651/313, 9249/5929 is 2007033.