Least Common Multiple of 9688/117, 2048/9633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9688/117, 2048/9633 quickly i.e. 2480128/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9688/117, 2048/9633 is 2480128/39.

LCM(9688/117, 2048/9633) = 2480128/39

LCM of 9688/117, 2048/9633

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 9688/117,2048/9633

Given numbers are 9688/117,2048/9633

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 9688,2048

Least Common Multiple of Numerators i.e. LCM of 9688,2048 is 2480128.

GCF of Denominators means GCF of 117,9633 as per the given fractions.

GCF of 117,9633 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9688,2048

LCM of Fractions 9688/117,2048/9633 is 2480128/39

2 9688, 2048
2 4844, 1024
2 2422, 512
1211, 256

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1211 x 256 = 2480128

Least Common Multiple of 9688,2048 with GCF Formula

Least Common Multiple of 9688,2048 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 9688,2048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9688,2048) = 8

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

GCF(9688,2048) x common factors =8 x 1 = 8

LCM(9688,2048) = ( 9688 × 2048 ) / 8

LCM(9688,2048) = 19841024 / 8

LCM(9688,2048) = 2480128


Lets's calculate GCF of 117,9633

3 117, 9633
13 39, 3211
3, 247

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2480128/39

Therefore the LCM of Fractions 9688/117,2048/9633 is 2480128/39

Greatest Common Factor of 117,9633 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,9633 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 9633

List of positive integer factors of 9633 that divides 9633 without a remainder.

1,3,13,19,39,57,169,247,507,741,3211,9633

Greatest Common Factor

We found the factors 117,9633 . The biggest common factor number is the GCF number.
So the greatest common factor 117,9633 is 39.


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 9688/117, 2048/9633

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 9688/117, 2048/9633?

Answer: LCM of Numerators as per given numbers 9688/117, 2048/9633 is

LCM of Numerators i.e. for 9688,2048 is 2480128

GCF of denominators i.e. for 117,9633 is 39.

Thus, LCM of Fractions is 2480128/39.Finally, LCM of Fractions for 9688/117, 2048/9633 is 2480128/39.