Least Common Multiple of 384/98, 768/6608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/98, 768/6608 quickly i.e. 768/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/98, 768/6608 is 768/14.

LCM(384/98, 768/6608) = 768/14

LCM of 384/98, 768/6608

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 384/98,768/6608

Given numbers are 384/98,768/6608

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 384,768

Least Common Multiple of Numerators i.e. LCM of 384,768 is 768.

GCF of Denominators means GCF of 98,6608 as per the given fractions.

GCF of 98,6608 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,768

LCM of Fractions 384/98,768/6608 is 768/14

2 384, 768
2 192, 384
2 96, 192
2 48, 96
2 24, 48
2 12, 24
2 6, 12
3 3, 6
1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 2 = 768

Least Common Multiple of 384,768 with GCF Formula

Least Common Multiple of 384,768 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 384,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,768) = 384

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

GCF(384,768) x common factors =384 x 1 = 384

LCM(384,768) = ( 384 × 768 ) / 384

LCM(384,768) = 294912 / 384

LCM(384,768) = 768


Lets's calculate GCF of 98,6608

2 98, 6608
7 49, 3304
7, 472

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768/14

Therefore the LCM of Fractions 384/98,768/6608 is 768/14

Greatest Common Factor of 98,6608 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,6608 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 6608

List of positive integer factors of 6608 that divides 6608 without a remainder.

1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608

Greatest Common Factor

We found the factors 98,6608 . The biggest common factor number is the GCF number.
So the greatest common factor 98,6608 is 14.


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 384/98, 768/6608

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 384/98, 768/6608?

Answer: LCM of Numerators as per given numbers 384/98, 768/6608 is

LCM of Numerators i.e. for 384,768 is 768

GCF of denominators i.e. for 98,6608 is 14.

Thus, LCM of Fractions is 768/14.Finally, LCM of Fractions for 384/98, 768/6608 is 768/14.