Least Common Multiple of 8105/34, 7785/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8105/34, 7785/323 quickly i.e. 12619485/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8105/34, 7785/323 is 12619485/17.

LCM(8105/34, 7785/323) = 12619485/17

LCM of 8105/34, 7785/323

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 8105/34,7785/323

Given numbers are 8105/34,7785/323

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 8105,7785

Least Common Multiple of Numerators i.e. LCM of 8105,7785 is 12619485.

GCF of Denominators means GCF of 34,323 as per the given fractions.

GCF of 34,323 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8105,7785

LCM of Fractions 8105/34,7785/323 is 12619485/17

5 8105, 7785
1621, 1557

∴ So the LCM of the given numbers is 5 x 1621 x 1557 = 12619485

Least Common Multiple of 8105,7785 with GCF Formula

Least Common Multiple of 8105,7785 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 8105,7785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8105,7785) = 5

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

GCF(8105,7785) x common factors =5 x 1 = 5

LCM(8105,7785) = ( 8105 × 7785 ) / 5

LCM(8105,7785) = 63097425 / 5

LCM(8105,7785) = 12619485


Lets's calculate GCF of 34,323

17 34, 323
2, 19

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12619485/17

Therefore the LCM of Fractions 8105/34,7785/323 is 12619485/17

Greatest Common Factor of 34,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,323 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 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 34,323 . The biggest common factor number is the GCF number.
So the greatest common factor 34,323 is 17.


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 8105/34, 7785/323

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 8105/34, 7785/323?

Answer: LCM of Numerators as per given numbers 8105/34, 7785/323 is

LCM of Numerators i.e. for 8105,7785 is 12619485

GCF of denominators i.e. for 34,323 is 17.

Thus, LCM of Fractions is 12619485/17.Finally, LCM of Fractions for 8105/34, 7785/323 is 12619485/17.