Least Common Multiple of 96/99, 98/77, 832/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/99, 98/77, 832/269 quickly i.e. 122304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/99, 98/77, 832/269 is 122304.

LCM(96/99, 98/77, 832/269) = 122304

LCM of 96/99, 98/77, 832/269

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 96/99,98/77,832/269

Given numbers are 96/99,98/77,832/269

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 96,98,832

Least Common Multiple of Numerators i.e. LCM of 96,98,832 is 122304.

GCF of Denominators means GCF of 99,77,269 as per the given fractions.

GCF of 99,77,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,98,832

LCM of Fractions 96/99,98/77,832/269 is 122304

2 96, 98, 832
2 48, 49, 416
2 24, 49, 208
2 12, 49, 104
2 6, 49, 52
3, 49, 26

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 49 x 26 = 122304

Least Common Multiple of 96,98,832 with GCF Formula

Least Common Multiple of 96,98,832 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 96,98,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,98,832) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(96,98,832) x common factors =2 x 32 = 64

LCM(96,98,832) = ( 96 × 98 × 832 ) / 64

LCM(96,98,832) = 7827456 / 64

LCM(96,98,832) = 122304


Lets's calculate GCF of 99,77,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122304/1

Therefore the LCM of Fractions 96/99,98/77,832/269 is 122304

Greatest Common Factor of 99,77,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,77,269 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 99,77,269 . The biggest common factor number is the GCF number.
So the greatest common factor 99,77,269 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 96/99, 98/77, 832/269

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 96/99, 98/77, 832/269?

Answer: LCM of Numerators as per given numbers 96/99, 98/77, 832/269 is

LCM of Numerators i.e. for 96,98,832 is 122304

GCF of denominators i.e. for 99,77,269 is 1.

Thus, LCM of Fractions is 122304.Finally, LCM of Fractions for 96/99, 98/77, 832/269 is 122304.