Least Common Multiple of 989/660, 422/209, 921/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/660, 422/209, 921/424 quickly i.e. 384386718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/660, 422/209, 921/424 is 384386718.

LCM(989/660, 422/209, 921/424) = 384386718

LCM of 989/660, 422/209, 921/424

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 989/660,422/209,921/424

Given numbers are 989/660,422/209,921/424

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 989,422,921

Least Common Multiple of Numerators i.e. LCM of 989,422,921 is 384386718.

GCF of Denominators means GCF of 660,209,424 as per the given fractions.

GCF of 660,209,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,422,921

LCM of Fractions 989/660,422/209,921/424 is 384386718

Given numbers has no common factors except 1. So, there LCM is their product i.e 384386718

Least Common Multiple of 989,422,921 with GCF Formula

Least Common Multiple of 989,422,921 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 989,422,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,422,921) = 1

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

GCF(989,422,921) x common factors =1 x 1 = 1

LCM(989,422,921) = ( 989 × 422 × 921 ) / 1

LCM(989,422,921) = 384386718 / 1

LCM(989,422,921) = 384386718


Lets's calculate GCF of 660,209,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 384386718/1

Therefore the LCM of Fractions 989/660,422/209,921/424 is 384386718

Greatest Common Factor of 660,209,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,209,424 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 660,209,424 . The biggest common factor number is the GCF number.
So the greatest common factor 660,209,424 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 989/660, 422/209, 921/424

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 989/660, 422/209, 921/424?

Answer: LCM of Numerators as per given numbers 989/660, 422/209, 921/424 is

LCM of Numerators i.e. for 989,422,921 is 384386718

GCF of denominators i.e. for 660,209,424 is 1.

Thus, LCM of Fractions is 384386718.Finally, LCM of Fractions for 989/660, 422/209, 921/424 is 384386718.