Least Common Multiple of 232/521, 998/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 232/521, 998/226 quickly i.e. 115768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 232/521, 998/226 is 115768.

LCM(232/521, 998/226) = 115768

LCM of 232/521, 998/226

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 232/521,998/226

Given numbers are 232/521,998/226

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 232,998

Least Common Multiple of Numerators i.e. LCM of 232,998 is 115768.

GCF of Denominators means GCF of 521,226 as per the given fractions.

GCF of 521,226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 232,998

LCM of Fractions 232/521,998/226 is 115768

2 232, 998
116, 499

∴ So the LCM of the given numbers is 2 x 116 x 499 = 115768

Least Common Multiple of 232,998 with GCF Formula

Least Common Multiple of 232,998 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 232,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,998) = 2

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

GCF(232,998) x common factors =2 x 1 = 2

LCM(232,998) = ( 232 × 998 ) / 2

LCM(232,998) = 231536 / 2

LCM(232,998) = 115768


Lets's calculate GCF of 521,226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115768/1

Therefore the LCM of Fractions 232/521,998/226 is 115768

Greatest Common Factor of 521,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,226 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

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 521,226 . The biggest common factor number is the GCF number.
So the greatest common factor 521,226 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 232/521, 998/226

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 232/521, 998/226?

Answer: LCM of Numerators as per given numbers 232/521, 998/226 is

LCM of Numerators i.e. for 232,998 is 115768

GCF of denominators i.e. for 521,226 is 1.

Thus, LCM of Fractions is 115768.Finally, LCM of Fractions for 232/521, 998/226 is 115768.