Least Common Multiple of 6847/313, 9688/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6847/313, 9688/629 quickly i.e. 66333736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6847/313, 9688/629 is 66333736.

LCM(6847/313, 9688/629) = 66333736

LCM of 6847/313, 9688/629

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 6847/313,9688/629

Given numbers are 6847/313,9688/629

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 6847,9688

Least Common Multiple of Numerators i.e. LCM of 6847,9688 is 66333736.

GCF of Denominators means GCF of 313,629 as per the given fractions.

GCF of 313,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6847,9688

LCM of Fractions 6847/313,9688/629 is 66333736

Given numbers has no common factors except 1. So, there LCM is their product i.e 66333736

Least Common Multiple of 6847,9688 with GCF Formula

Least Common Multiple of 6847,9688 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 6847,9688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6847,9688) = 1

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

GCF(6847,9688) x common factors =1 x 1 = 1

LCM(6847,9688) = ( 6847 × 9688 ) / 1

LCM(6847,9688) = 66333736 / 1

LCM(6847,9688) = 66333736


Lets's calculate GCF of 313,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66333736/1

Therefore the LCM of Fractions 6847/313,9688/629 is 66333736

Greatest Common Factor of 313,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,629 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 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 313,629 . The biggest common factor number is the GCF number.
So the greatest common factor 313,629 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6847/313, 9688/629

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 6847/313, 9688/629?

Answer: LCM of Numerators as per given numbers 6847/313, 9688/629 is

LCM of Numerators i.e. for 6847,9688 is 66333736

GCF of denominators i.e. for 313,629 is 1.

Thus, LCM of Fractions is 66333736.Finally, LCM of Fractions for 6847/313, 9688/629 is 66333736.