Least Common Multiple of 229/107, 7232/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 229/107, 7232/299 quickly i.e. 1656128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 229/107, 7232/299 is 1656128.

LCM(229/107, 7232/299) = 1656128

LCM of 229/107, 7232/299

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 229/107,7232/299

Given numbers are 229/107,7232/299

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 229,7232

Least Common Multiple of Numerators i.e. LCM of 229,7232 is 1656128.

GCF of Denominators means GCF of 107,299 as per the given fractions.

GCF of 107,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 229,7232

LCM of Fractions 229/107,7232/299 is 1656128

Given numbers has no common factors except 1. So, there LCM is their product i.e 1656128

Least Common Multiple of 229,7232 with GCF Formula

Least Common Multiple of 229,7232 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 229,7232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,7232) = 1

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

GCF(229,7232) x common factors =1 x 1 = 1

LCM(229,7232) = ( 229 × 7232 ) / 1

LCM(229,7232) = 1656128 / 1

LCM(229,7232) = 1656128


Lets's calculate GCF of 107,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656128/1

Therefore the LCM of Fractions 229/107,7232/299 is 1656128

Greatest Common Factor of 107,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,299 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 107,299 . The biggest common factor number is the GCF number.
So the greatest common factor 107,299 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 229/107, 7232/299

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 229/107, 7232/299?

Answer: LCM of Numerators as per given numbers 229/107, 7232/299 is

LCM of Numerators i.e. for 229,7232 is 1656128

GCF of denominators i.e. for 107,299 is 1.

Thus, LCM of Fractions is 1656128.Finally, LCM of Fractions for 229/107, 7232/299 is 1656128.