Least Common Multiple of 8298/40, 2169/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8298/40, 2169/997 quickly i.e. 1999818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8298/40, 2169/997 is 1999818.

LCM(8298/40, 2169/997) = 1999818

LCM of 8298/40, 2169/997

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 8298/40,2169/997

Given numbers are 8298/40,2169/997

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 8298,2169

Least Common Multiple of Numerators i.e. LCM of 8298,2169 is 1999818.

GCF of Denominators means GCF of 40,997 as per the given fractions.

GCF of 40,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8298,2169

LCM of Fractions 8298/40,2169/997 is 1999818

3 8298, 2169
3 2766, 723
922, 241

∴ So the LCM of the given numbers is 3 x 3 x 922 x 241 = 1999818

Least Common Multiple of 8298,2169 with GCF Formula

Least Common Multiple of 8298,2169 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 8298,2169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8298,2169) = 9

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

GCF(8298,2169) x common factors =9 x 1 = 9

LCM(8298,2169) = ( 8298 × 2169 ) / 9

LCM(8298,2169) = 17998362 / 9

LCM(8298,2169) = 1999818


Lets's calculate GCF of 40,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1999818/1

Therefore the LCM of Fractions 8298/40,2169/997 is 1999818

Greatest Common Factor of 40,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,997 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 40,997 . The biggest common factor number is the GCF number.
So the greatest common factor 40,997 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8298/40, 2169/997

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 8298/40, 2169/997?

Answer: LCM of Numerators as per given numbers 8298/40, 2169/997 is

LCM of Numerators i.e. for 8298,2169 is 1999818

GCF of denominators i.e. for 40,997 is 1.

Thus, LCM of Fractions is 1999818.Finally, LCM of Fractions for 8298/40, 2169/997 is 1999818.