Least Common Multiple of 766/80, 7193/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 766/80, 7193/398 quickly i.e. 2754919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/80, 7193/398 is 2754919.

LCM(766/80, 7193/398) = 2754919

LCM of 766/80, 7193/398

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 766/80,7193/398

Given numbers are 766/80,7193/398

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 766,7193

Least Common Multiple of Numerators i.e. LCM of 766,7193 is 5509838.

GCF of Denominators means GCF of 80,398 as per the given fractions.

GCF of 80,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,7193

LCM of Fractions 766/80,7193/398 is 2754919

Given numbers has no common factors except 1. So, there LCM is their product i.e 5509838

Least Common Multiple of 766,7193 with GCF Formula

Least Common Multiple of 766,7193 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 766,7193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,7193) = 1

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

GCF(766,7193) x common factors =1 x 1 = 1

LCM(766,7193) = ( 766 × 7193 ) / 1

LCM(766,7193) = 5509838 / 1

LCM(766,7193) = 5509838


Lets's calculate GCF of 80,398

2 80, 398
40, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5509838/2

Therefore the LCM of Fractions 766/80,7193/398 is 2754919

Greatest Common Factor of 80,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,398 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 80,398 . The biggest common factor number is the GCF number.
So the greatest common factor 80,398 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 766/80, 7193/398

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 766/80, 7193/398?

Answer: LCM of Numerators as per given numbers 766/80, 7193/398 is

LCM of Numerators i.e. for 766,7193 is 5509838

GCF of denominators i.e. for 80,398 is 2.

Thus, LCM of Fractions is 2754919.Finally, LCM of Fractions for 766/80, 7193/398 is 2754919.