Least Common Multiple of 8295/80, 2310/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8295/80, 2310/825 quickly i.e. 36498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8295/80, 2310/825 is 36498.

LCM(8295/80, 2310/825) = 36498

LCM of 8295/80, 2310/825

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 8295/80,2310/825

Given numbers are 8295/80,2310/825

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 8295,2310

Least Common Multiple of Numerators i.e. LCM of 8295,2310 is 182490.

GCF of Denominators means GCF of 80,825 as per the given fractions.

GCF of 80,825 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8295,2310

LCM of Fractions 8295/80,2310/825 is 36498

3 8295, 2310
5 2765, 770
7 553, 154
79, 22

∴ So the LCM of the given numbers is 3 x 5 x 7 x 79 x 22 = 182490

Least Common Multiple of 8295,2310 with GCF Formula

Least Common Multiple of 8295,2310 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 8295,2310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8295,2310) = 105

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

GCF(8295,2310) x common factors =105 x 1 = 105

LCM(8295,2310) = ( 8295 × 2310 ) / 105

LCM(8295,2310) = 19161450 / 105

LCM(8295,2310) = 182490


Lets's calculate GCF of 80,825

5 80, 825
16, 165

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182490/5

Therefore the LCM of Fractions 8295/80,2310/825 is 36498

Greatest Common Factor of 80,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,825 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 80,825 . The biggest common factor number is the GCF number.
So the greatest common factor 80,825 is 5.


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 8295/80, 2310/825

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 8295/80, 2310/825?

Answer: LCM of Numerators as per given numbers 8295/80, 2310/825 is

LCM of Numerators i.e. for 8295,2310 is 182490

GCF of denominators i.e. for 80,825 is 5.

Thus, LCM of Fractions is 36498.Finally, LCM of Fractions for 8295/80, 2310/825 is 36498.