Least Common Multiple of 73/766, 8174/7230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/766, 8174/7230 quickly i.e. 298351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/766, 8174/7230 is 298351.

LCM(73/766, 8174/7230) = 298351

LCM of 73/766, 8174/7230

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 73/766,8174/7230

Given numbers are 73/766,8174/7230

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 73,8174

Least Common Multiple of Numerators i.e. LCM of 73,8174 is 596702.

GCF of Denominators means GCF of 766,7230 as per the given fractions.

GCF of 766,7230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,8174

LCM of Fractions 73/766,8174/7230 is 298351

Given numbers has no common factors except 1. So, there LCM is their product i.e 596702

Least Common Multiple of 73,8174 with GCF Formula

Least Common Multiple of 73,8174 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 73,8174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,8174) = 1

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

GCF(73,8174) x common factors =1 x 1 = 1

LCM(73,8174) = ( 73 × 8174 ) / 1

LCM(73,8174) = 596702 / 1

LCM(73,8174) = 596702


Lets's calculate GCF of 766,7230

2 766, 7230
383, 3615

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 596702/2

Therefore the LCM of Fractions 73/766,8174/7230 is 298351

Greatest Common Factor of 766,7230 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,7230 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 7230

List of positive integer factors of 7230 that divides 7230 without a remainder.

1,2,3,5,6,10,15,30,241,482,723,1205,1446,2410,3615,7230

Greatest Common Factor

We found the factors 766,7230 . The biggest common factor number is the GCF number.
So the greatest common factor 766,7230 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 73/766, 8174/7230

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 73/766, 8174/7230?

Answer: LCM of Numerators as per given numbers 73/766, 8174/7230 is

LCM of Numerators i.e. for 73,8174 is 596702

GCF of denominators i.e. for 766,7230 is 2.

Thus, LCM of Fractions is 298351.Finally, LCM of Fractions for 73/766, 8174/7230 is 298351.