Least Common Multiple of 7165/102, 5085/9656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7165/102, 5085/9656 quickly i.e. 7286805/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7165/102, 5085/9656 is 7286805/34.

LCM(7165/102, 5085/9656) = 7286805/34

LCM of 7165/102, 5085/9656

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 7165/102,5085/9656

Given numbers are 7165/102,5085/9656

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 7165,5085

Least Common Multiple of Numerators i.e. LCM of 7165,5085 is 7286805.

GCF of Denominators means GCF of 102,9656 as per the given fractions.

GCF of 102,9656 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7165,5085

LCM of Fractions 7165/102,5085/9656 is 7286805/34

5 7165, 5085
1433, 1017

∴ So the LCM of the given numbers is 5 x 1433 x 1017 = 7286805

Least Common Multiple of 7165,5085 with GCF Formula

Least Common Multiple of 7165,5085 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 7165,5085 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7165,5085) = 5

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

GCF(7165,5085) x common factors =5 x 1 = 5

LCM(7165,5085) = ( 7165 × 5085 ) / 5

LCM(7165,5085) = 36434025 / 5

LCM(7165,5085) = 7286805


Lets's calculate GCF of 102,9656

2 102, 9656
17 51, 4828
3, 284

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7286805/34

Therefore the LCM of Fractions 7165/102,5085/9656 is 7286805/34

Greatest Common Factor of 102,9656 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,9656 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 9656

List of positive integer factors of 9656 that divides 9656 without a remainder.

1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656

Greatest Common Factor

We found the factors 102,9656 . The biggest common factor number is the GCF number.
So the greatest common factor 102,9656 is 34.


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 7165/102, 5085/9656

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 7165/102, 5085/9656?

Answer: LCM of Numerators as per given numbers 7165/102, 5085/9656 is

LCM of Numerators i.e. for 7165,5085 is 7286805

GCF of denominators i.e. for 102,9656 is 34.

Thus, LCM of Fractions is 7286805/34.Finally, LCM of Fractions for 7165/102, 5085/9656 is 7286805/34.