Least Common Multiple of 96/102, 6613/2928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/102, 6613/2928 quickly i.e. 105808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/102, 6613/2928 is 105808.

LCM(96/102, 6613/2928) = 105808

LCM of 96/102, 6613/2928

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 96/102,6613/2928

Given numbers are 96/102,6613/2928

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 96,6613

Least Common Multiple of Numerators i.e. LCM of 96,6613 is 634848.

GCF of Denominators means GCF of 102,2928 as per the given fractions.

GCF of 102,2928 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,6613

LCM of Fractions 96/102,6613/2928 is 105808

Given numbers has no common factors except 1. So, there LCM is their product i.e 634848

Least Common Multiple of 96,6613 with GCF Formula

Least Common Multiple of 96,6613 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 96,6613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,6613) = 1

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

GCF(96,6613) x common factors =1 x 1 = 1

LCM(96,6613) = ( 96 × 6613 ) / 1

LCM(96,6613) = 634848 / 1

LCM(96,6613) = 634848


Lets's calculate GCF of 102,2928

2 102, 2928
3 51, 1464
17, 488

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 634848/6

Therefore the LCM of Fractions 96/102,6613/2928 is 105808

Greatest Common Factor of 102,2928 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,2928 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 2928

List of positive integer factors of 2928 that divides 2928 without a remainder.

1,2,3,4,6,8,12,16,24,48,61,122,183,244,366,488,732,976,1464,2928

Greatest Common Factor

We found the factors 102,2928 . The biggest common factor number is the GCF number.
So the greatest common factor 102,2928 is 6.


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 96/102, 6613/2928

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 96/102, 6613/2928?

Answer: LCM of Numerators as per given numbers 96/102, 6613/2928 is

LCM of Numerators i.e. for 96,6613 is 634848

GCF of denominators i.e. for 102,2928 is 6.

Thus, LCM of Fractions is 105808.Finally, LCM of Fractions for 96/102, 6613/2928 is 105808.