Least Common Multiple of 9801/506, 1671/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9801/506, 1671/226 quickly i.e. 5459157/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9801/506, 1671/226 is 5459157/2.

LCM(9801/506, 1671/226) = 5459157/2

LCM of 9801/506, 1671/226

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 9801/506,1671/226

Given numbers are 9801/506,1671/226

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 9801,1671

Least Common Multiple of Numerators i.e. LCM of 9801,1671 is 5459157.

GCF of Denominators means GCF of 506,226 as per the given fractions.

GCF of 506,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9801,1671

LCM of Fractions 9801/506,1671/226 is 5459157/2

3 9801, 1671
3267, 557

∴ So the LCM of the given numbers is 3 x 3267 x 557 = 5459157

Least Common Multiple of 9801,1671 with GCF Formula

Least Common Multiple of 9801,1671 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 9801,1671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9801,1671) = 3

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

GCF(9801,1671) x common factors =3 x 1 = 3

LCM(9801,1671) = ( 9801 × 1671 ) / 3

LCM(9801,1671) = 16377471 / 3

LCM(9801,1671) = 5459157


Lets's calculate GCF of 506,226

2 506, 226
253, 113

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5459157/2

Therefore the LCM of Fractions 9801/506,1671/226 is 5459157/2

Greatest Common Factor of 506,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,226 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 506,226 . The biggest common factor number is the GCF number.
So the greatest common factor 506,226 is 2.


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 9801/506, 1671/226

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 9801/506, 1671/226?

Answer: LCM of Numerators as per given numbers 9801/506, 1671/226 is

LCM of Numerators i.e. for 9801,1671 is 5459157

GCF of denominators i.e. for 506,226 is 2.

Thus, LCM of Fractions is 5459157/2.Finally, LCM of Fractions for 9801/506, 1671/226 is 5459157/2.