Least Common Multiple of 9640/217, 6483/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9640/217, 6483/837 quickly i.e. 62496120/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9640/217, 6483/837 is 62496120/31.

LCM(9640/217, 6483/837) = 62496120/31

LCM of 9640/217, 6483/837

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 9640/217,6483/837

Given numbers are 9640/217,6483/837

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 9640,6483

Least Common Multiple of Numerators i.e. LCM of 9640,6483 is 62496120.

GCF of Denominators means GCF of 217,837 as per the given fractions.

GCF of 217,837 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9640,6483

LCM of Fractions 9640/217,6483/837 is 62496120/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 62496120

Least Common Multiple of 9640,6483 with GCF Formula

Least Common Multiple of 9640,6483 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 9640,6483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9640,6483) = 1

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

GCF(9640,6483) x common factors =1 x 1 = 1

LCM(9640,6483) = ( 9640 × 6483 ) / 1

LCM(9640,6483) = 62496120 / 1

LCM(9640,6483) = 62496120


Lets's calculate GCF of 217,837

31 217, 837
7, 27

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62496120/31

Therefore the LCM of Fractions 9640/217,6483/837 is 62496120/31

Greatest Common Factor of 217,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,837 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 217,837 . The biggest common factor number is the GCF number.
So the greatest common factor 217,837 is 31.


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 9640/217, 6483/837

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 9640/217, 6483/837?

Answer: LCM of Numerators as per given numbers 9640/217, 6483/837 is

LCM of Numerators i.e. for 9640,6483 is 62496120

GCF of denominators i.e. for 217,837 is 31.

Thus, LCM of Fractions is 62496120/31.Finally, LCM of Fractions for 9640/217, 6483/837 is 62496120/31.