Least Common Multiple of 9431/819, 9100/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9431/819, 9100/417 quickly i.e. 85822100/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9431/819, 9100/417 is 85822100/3.

LCM(9431/819, 9100/417) = 85822100/3

LCM of 9431/819, 9100/417

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 9431/819,9100/417

Given numbers are 9431/819,9100/417

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 9431,9100

Least Common Multiple of Numerators i.e. LCM of 9431,9100 is 85822100.

GCF of Denominators means GCF of 819,417 as per the given fractions.

GCF of 819,417 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9431,9100

LCM of Fractions 9431/819,9100/417 is 85822100/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 85822100

Least Common Multiple of 9431,9100 with GCF Formula

Least Common Multiple of 9431,9100 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 9431,9100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9431,9100) = 1

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

GCF(9431,9100) x common factors =1 x 1 = 1

LCM(9431,9100) = ( 9431 × 9100 ) / 1

LCM(9431,9100) = 85822100 / 1

LCM(9431,9100) = 85822100


Lets's calculate GCF of 819,417

3 819, 417
273, 139

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85822100/3

Therefore the LCM of Fractions 9431/819,9100/417 is 85822100/3

Greatest Common Factor of 819,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,417 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 819,417 . The biggest common factor number is the GCF number.
So the greatest common factor 819,417 is 3.


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 9431/819, 9100/417

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 9431/819, 9100/417?

Answer: LCM of Numerators as per given numbers 9431/819, 9100/417 is

LCM of Numerators i.e. for 9431,9100 is 85822100

GCF of denominators i.e. for 819,417 is 3.

Thus, LCM of Fractions is 85822100/3.Finally, LCM of Fractions for 9431/819, 9100/417 is 85822100/3.