Least Common Multiple of 297/34, 768/9152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/34, 768/9152 quickly i.e. 38016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/34, 768/9152 is 38016.

LCM(297/34, 768/9152) = 38016

LCM of 297/34, 768/9152

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 297/34,768/9152

Given numbers are 297/34,768/9152

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 297,768

Least Common Multiple of Numerators i.e. LCM of 297,768 is 76032.

GCF of Denominators means GCF of 34,9152 as per the given fractions.

GCF of 34,9152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,768

LCM of Fractions 297/34,768/9152 is 38016

3 297, 768
99, 256

∴ So the LCM of the given numbers is 3 x 99 x 256 = 76032

Least Common Multiple of 297,768 with GCF Formula

Least Common Multiple of 297,768 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 297,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,768) = 3

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

GCF(297,768) x common factors =3 x 1 = 3

LCM(297,768) = ( 297 × 768 ) / 3

LCM(297,768) = 228096 / 3

LCM(297,768) = 76032


Lets's calculate GCF of 34,9152

2 34, 9152
17, 4576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76032/2

Therefore the LCM of Fractions 297/34,768/9152 is 38016

Greatest Common Factor of 34,9152 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,9152 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 9152

List of positive integer factors of 9152 that divides 9152 without a remainder.

1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152

Greatest Common Factor

We found the factors 34,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 34,9152 is 2.


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 297/34, 768/9152

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 297/34, 768/9152?

Answer: LCM of Numerators as per given numbers 297/34, 768/9152 is

LCM of Numerators i.e. for 297,768 is 76032

GCF of denominators i.e. for 34,9152 is 2.

Thus, LCM of Fractions is 38016.Finally, LCM of Fractions for 297/34, 768/9152 is 38016.