Least Common Multiple of 683/75, 9260/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/75, 9260/215 quickly i.e. 1264916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/75, 9260/215 is 1264916.

LCM(683/75, 9260/215) = 1264916

LCM of 683/75, 9260/215

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 683/75,9260/215

Given numbers are 683/75,9260/215

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 683,9260

Least Common Multiple of Numerators i.e. LCM of 683,9260 is 6324580.

GCF of Denominators means GCF of 75,215 as per the given fractions.

GCF of 75,215 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,9260

LCM of Fractions 683/75,9260/215 is 1264916

Given numbers has no common factors except 1. So, there LCM is their product i.e 6324580

Least Common Multiple of 683,9260 with GCF Formula

Least Common Multiple of 683,9260 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 683,9260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,9260) = 1

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

GCF(683,9260) x common factors =1 x 1 = 1

LCM(683,9260) = ( 683 × 9260 ) / 1

LCM(683,9260) = 6324580 / 1

LCM(683,9260) = 6324580


Lets's calculate GCF of 75,215

5 75, 215
15, 43

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6324580/5

Therefore the LCM of Fractions 683/75,9260/215 is 1264916

Greatest Common Factor of 75,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,215 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 75,215 . The biggest common factor number is the GCF number.
So the greatest common factor 75,215 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 683/75, 9260/215

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 683/75, 9260/215?

Answer: LCM of Numerators as per given numbers 683/75, 9260/215 is

LCM of Numerators i.e. for 683,9260 is 6324580

GCF of denominators i.e. for 75,215 is 5.

Thus, LCM of Fractions is 1264916.Finally, LCM of Fractions for 683/75, 9260/215 is 1264916.