Least Common Multiple of 9516/608, 2684/9649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9516/608, 2684/9649 quickly i.e. 104676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9516/608, 2684/9649 is 104676.

LCM(9516/608, 2684/9649) = 104676

LCM of 9516/608, 2684/9649

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 9516/608,2684/9649

Given numbers are 9516/608,2684/9649

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 9516,2684

Least Common Multiple of Numerators i.e. LCM of 9516,2684 is 104676.

GCF of Denominators means GCF of 608,9649 as per the given fractions.

GCF of 608,9649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9516,2684

LCM of Fractions 9516/608,2684/9649 is 104676

2 9516, 2684
2 4758, 1342
61 2379, 671
39, 11

∴ So the LCM of the given numbers is 2 x 2 x 61 x 39 x 11 = 104676

Least Common Multiple of 9516,2684 with GCF Formula

Least Common Multiple of 9516,2684 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 9516,2684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9516,2684) = 244

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

GCF(9516,2684) x common factors =244 x 1 = 244

LCM(9516,2684) = ( 9516 × 2684 ) / 244

LCM(9516,2684) = 25540944 / 244

LCM(9516,2684) = 104676


Lets's calculate GCF of 608,9649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104676/1

Therefore the LCM of Fractions 9516/608,2684/9649 is 104676

Greatest Common Factor of 608,9649 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,9649 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 9649

List of positive integer factors of 9649 that divides 9649 without a remainder.

1,9649

Greatest Common Factor

We found the factors 608,9649 . The biggest common factor number is the GCF number.
So the greatest common factor 608,9649 is 1.


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 9516/608, 2684/9649

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 9516/608, 2684/9649?

Answer: LCM of Numerators as per given numbers 9516/608, 2684/9649 is

LCM of Numerators i.e. for 9516,2684 is 104676

GCF of denominators i.e. for 608,9649 is 1.

Thus, LCM of Fractions is 104676.Finally, LCM of Fractions for 9516/608, 2684/9649 is 104676.