Least Common Multiple of 79/737, 31/580, 283/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/737, 31/580, 283/161 quickly i.e. 693067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/737, 31/580, 283/161 is 693067.

LCM(79/737, 31/580, 283/161) = 693067

LCM of 79/737, 31/580, 283/161

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 79/737,31/580,283/161

Given numbers are 79/737,31/580,283/161

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 79,31,283

Least Common Multiple of Numerators i.e. LCM of 79,31,283 is 693067.

GCF of Denominators means GCF of 737,580,161 as per the given fractions.

GCF of 737,580,161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,31,283

LCM of Fractions 79/737,31/580,283/161 is 693067

Given numbers has no common factors except 1. So, there LCM is their product i.e 693067

Least Common Multiple of 79,31,283 with GCF Formula

Least Common Multiple of 79,31,283 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 79,31,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,31,283) = 1

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

GCF(79,31,283) x common factors =1 x 1 = 1

LCM(79,31,283) = ( 79 × 31 × 283 ) / 1

LCM(79,31,283) = 693067 / 1

LCM(79,31,283) = 693067


Lets's calculate GCF of 737,580,161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 693067/1

Therefore the LCM of Fractions 79/737,31/580,283/161 is 693067

Greatest Common Factor of 737,580,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,580,161 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 737,580,161 . The biggest common factor number is the GCF number.
So the greatest common factor 737,580,161 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/737, 31/580, 283/161

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 79/737, 31/580, 283/161?

Answer: LCM of Numerators as per given numbers 79/737, 31/580, 283/161 is

LCM of Numerators i.e. for 79,31,283 is 693067

GCF of denominators i.e. for 737,580,161 is 1.

Thus, LCM of Fractions is 693067.Finally, LCM of Fractions for 79/737, 31/580, 283/161 is 693067.