Least Common Multiple of 127/96, 195/4864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 127/96, 195/4864 quickly i.e. 24765/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 127/96, 195/4864 is 24765/32.

LCM(127/96, 195/4864) = 24765/32

LCM of 127/96, 195/4864

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 127/96,195/4864

Given numbers are 127/96,195/4864

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 127,195

Least Common Multiple of Numerators i.e. LCM of 127,195 is 24765.

GCF of Denominators means GCF of 96,4864 as per the given fractions.

GCF of 96,4864 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 127,195

LCM of Fractions 127/96,195/4864 is 24765/32

Given numbers has no common factors except 1. So, there LCM is their product i.e 24765

Least Common Multiple of 127,195 with GCF Formula

Least Common Multiple of 127,195 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 127,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,195) = 1

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

GCF(127,195) x common factors =1 x 1 = 1

LCM(127,195) = ( 127 × 195 ) / 1

LCM(127,195) = 24765 / 1

LCM(127,195) = 24765


Lets's calculate GCF of 96,4864

2 96, 4864
2 48, 2432
2 24, 1216
2 12, 608
2 6, 304
3, 152

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24765/32

Therefore the LCM of Fractions 127/96,195/4864 is 24765/32

Greatest Common Factor of 96,4864 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,4864 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 4864

List of positive integer factors of 4864 that divides 4864 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,256,304,608,1216,2432,4864

Greatest Common Factor

We found the factors 96,4864 . The biggest common factor number is the GCF number.
So the greatest common factor 96,4864 is 32.


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 127/96, 195/4864

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 127/96, 195/4864?

Answer: LCM of Numerators as per given numbers 127/96, 195/4864 is

LCM of Numerators i.e. for 127,195 is 24765

GCF of denominators i.e. for 96,4864 is 32.

Thus, LCM of Fractions is 24765/32.Finally, LCM of Fractions for 127/96, 195/4864 is 24765/32.