Least Common Multiple of 6144/816, 7359/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6144/816, 7359/935 quickly i.e. 15071232/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6144/816, 7359/935 is 15071232/17.

LCM(6144/816, 7359/935) = 15071232/17

LCM of 6144/816, 7359/935

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 6144/816,7359/935

Given numbers are 6144/816,7359/935

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 6144,7359

Least Common Multiple of Numerators i.e. LCM of 6144,7359 is 15071232.

GCF of Denominators means GCF of 816,935 as per the given fractions.

GCF of 816,935 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6144,7359

LCM of Fractions 6144/816,7359/935 is 15071232/17

3 6144, 7359
2048, 2453

∴ So the LCM of the given numbers is 3 x 2048 x 2453 = 15071232

Least Common Multiple of 6144,7359 with GCF Formula

Least Common Multiple of 6144,7359 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 6144,7359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6144,7359) = 3

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

GCF(6144,7359) x common factors =3 x 1 = 3

LCM(6144,7359) = ( 6144 × 7359 ) / 3

LCM(6144,7359) = 45213696 / 3

LCM(6144,7359) = 15071232


Lets's calculate GCF of 816,935

17 816, 935
48, 55

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15071232/17

Therefore the LCM of Fractions 6144/816,7359/935 is 15071232/17

Greatest Common Factor of 816,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,935 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 816,935 . The biggest common factor number is the GCF number.
So the greatest common factor 816,935 is 17.


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 6144/816, 7359/935

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 6144/816, 7359/935?

Answer: LCM of Numerators as per given numbers 6144/816, 7359/935 is

LCM of Numerators i.e. for 6144,7359 is 15071232

GCF of denominators i.e. for 816,935 is 17.

Thus, LCM of Fractions is 15071232/17.Finally, LCM of Fractions for 6144/816, 7359/935 is 15071232/17.