Least Common Multiple of 228/29, 732/66, 709/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/29, 732/66, 709/313 quickly i.e. 9860772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/29, 732/66, 709/313 is 9860772.

LCM(228/29, 732/66, 709/313) = 9860772

LCM of 228/29, 732/66, 709/313

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 228/29,732/66,709/313

Given numbers are 228/29,732/66,709/313

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 228,732,709

Least Common Multiple of Numerators i.e. LCM of 228,732,709 is 9860772.

GCF of Denominators means GCF of 29,66,313 as per the given fractions.

GCF of 29,66,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,732,709

LCM of Fractions 228/29,732/66,709/313 is 9860772

2 228, 732, 709
2 114, 366, 709
3 57, 183, 709
19, 61, 709

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 61 x 709 = 9860772

Least Common Multiple of 228,732,709 with GCF Formula

Least Common Multiple of 228,732,709 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 228,732,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,732,709) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(228,732,709) x common factors =1 x 12 = 12

LCM(228,732,709) = ( 228 × 732 × 709 ) / 12

LCM(228,732,709) = 118329264 / 12

LCM(228,732,709) = 9860772


Lets's calculate GCF of 29,66,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9860772/1

Therefore the LCM of Fractions 228/29,732/66,709/313 is 9860772

Greatest Common Factor of 29,66,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,66,313 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 29,66,313 . The biggest common factor number is the GCF number.
So the greatest common factor 29,66,313 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 228/29, 732/66, 709/313

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 228/29, 732/66, 709/313?

Answer: LCM of Numerators as per given numbers 228/29, 732/66, 709/313 is

LCM of Numerators i.e. for 228,732,709 is 9860772

GCF of denominators i.e. for 29,66,313 is 1.

Thus, LCM of Fractions is 9860772.Finally, LCM of Fractions for 228/29, 732/66, 709/313 is 9860772.