Least Common Multiple of 597/48, 192/8415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 597/48, 192/8415 quickly i.e. 12736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 597/48, 192/8415 is 12736.

LCM(597/48, 192/8415) = 12736

LCM of 597/48, 192/8415

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 597/48,192/8415

Given numbers are 597/48,192/8415

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 597,192

Least Common Multiple of Numerators i.e. LCM of 597,192 is 38208.

GCF of Denominators means GCF of 48,8415 as per the given fractions.

GCF of 48,8415 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 597,192

LCM of Fractions 597/48,192/8415 is 12736

3 597, 192
199, 64

∴ So the LCM of the given numbers is 3 x 199 x 64 = 38208

Least Common Multiple of 597,192 with GCF Formula

Least Common Multiple of 597,192 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 597,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,192) = 3

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

GCF(597,192) x common factors =3 x 1 = 3

LCM(597,192) = ( 597 × 192 ) / 3

LCM(597,192) = 114624 / 3

LCM(597,192) = 38208


Lets's calculate GCF of 48,8415

3 48, 8415
16, 2805

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38208/3

Therefore the LCM of Fractions 597/48,192/8415 is 12736

Greatest Common Factor of 48,8415 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,8415 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 8415

List of positive integer factors of 8415 that divides 8415 without a remainder.

1,3,5,9,11,15,17,33,45,51,55,85,99,153,165,187,255,495,561,765,935,1683,2805,8415

Greatest Common Factor

We found the factors 48,8415 . The biggest common factor number is the GCF number.
So the greatest common factor 48,8415 is 3.


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 597/48, 192/8415

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 597/48, 192/8415?

Answer: LCM of Numerators as per given numbers 597/48, 192/8415 is

LCM of Numerators i.e. for 597,192 is 38208

GCF of denominators i.e. for 48,8415 is 3.

Thus, LCM of Fractions is 12736.Finally, LCM of Fractions for 597/48, 192/8415 is 12736.