Least Common Multiple of 162/249, 827/718, 997/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 162/249, 827/718, 997/198 quickly i.e. 133572078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 162/249, 827/718, 997/198 is 133572078.

LCM(162/249, 827/718, 997/198) = 133572078

LCM of 162/249, 827/718, 997/198

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 162/249,827/718,997/198

Given numbers are 162/249,827/718,997/198

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 162,827,997

Least Common Multiple of Numerators i.e. LCM of 162,827,997 is 133572078.

GCF of Denominators means GCF of 249,718,198 as per the given fractions.

GCF of 249,718,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 162,827,997

LCM of Fractions 162/249,827/718,997/198 is 133572078

Given numbers has no common factors except 1. So, there LCM is their product i.e 133572078

Least Common Multiple of 162,827,997 with GCF Formula

Least Common Multiple of 162,827,997 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 162,827,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,827,997) = 1

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

GCF(162,827,997) x common factors =1 x 1 = 1

LCM(162,827,997) = ( 162 × 827 × 997 ) / 1

LCM(162,827,997) = 133572078 / 1

LCM(162,827,997) = 133572078


Lets's calculate GCF of 249,718,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133572078/1

Therefore the LCM of Fractions 162/249,827/718,997/198 is 133572078

Greatest Common Factor of 249,718,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,718,198 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 249,718,198 . The biggest common factor number is the GCF number.
So the greatest common factor 249,718,198 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 162/249, 827/718, 997/198

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 162/249, 827/718, 997/198?

Answer: LCM of Numerators as per given numbers 162/249, 827/718, 997/198 is

LCM of Numerators i.e. for 162,827,997 is 133572078

GCF of denominators i.e. for 249,718,198 is 1.

Thus, LCM of Fractions is 133572078.Finally, LCM of Fractions for 162/249, 827/718, 997/198 is 133572078.