Least Common Multiple of 9665/489, 8954/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9665/489, 8954/557 quickly i.e. 86540410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9665/489, 8954/557 is 86540410.

LCM(9665/489, 8954/557) = 86540410

LCM of 9665/489, 8954/557

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 9665/489,8954/557

Given numbers are 9665/489,8954/557

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 9665,8954

Least Common Multiple of Numerators i.e. LCM of 9665,8954 is 86540410.

GCF of Denominators means GCF of 489,557 as per the given fractions.

GCF of 489,557 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9665,8954

LCM of Fractions 9665/489,8954/557 is 86540410

Given numbers has no common factors except 1. So, there LCM is their product i.e 86540410

Least Common Multiple of 9665,8954 with GCF Formula

Least Common Multiple of 9665,8954 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 9665,8954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9665,8954) = 1

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

GCF(9665,8954) x common factors =1 x 1 = 1

LCM(9665,8954) = ( 9665 × 8954 ) / 1

LCM(9665,8954) = 86540410 / 1

LCM(9665,8954) = 86540410


Lets's calculate GCF of 489,557

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86540410/1

Therefore the LCM of Fractions 9665/489,8954/557 is 86540410

Greatest Common Factor of 489,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,557 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 489,557 . The biggest common factor number is the GCF number.
So the greatest common factor 489,557 is 1.


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 9665/489, 8954/557

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 9665/489, 8954/557?

Answer: LCM of Numerators as per given numbers 9665/489, 8954/557 is

LCM of Numerators i.e. for 9665,8954 is 86540410

GCF of denominators i.e. for 489,557 is 1.

Thus, LCM of Fractions is 86540410.Finally, LCM of Fractions for 9665/489, 8954/557 is 86540410.