Least Common Multiple of 79/694, 8390/1790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/694, 8390/1790 quickly i.e. 331405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/694, 8390/1790 is 331405.

LCM(79/694, 8390/1790) = 331405

LCM of 79/694, 8390/1790

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 79/694,8390/1790

Given numbers are 79/694,8390/1790

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 79,8390

Least Common Multiple of Numerators i.e. LCM of 79,8390 is 662810.

GCF of Denominators means GCF of 694,1790 as per the given fractions.

GCF of 694,1790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,8390

LCM of Fractions 79/694,8390/1790 is 331405

Given numbers has no common factors except 1. So, there LCM is their product i.e 662810

Least Common Multiple of 79,8390 with GCF Formula

Least Common Multiple of 79,8390 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 79,8390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,8390) = 1

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

GCF(79,8390) x common factors =1 x 1 = 1

LCM(79,8390) = ( 79 × 8390 ) / 1

LCM(79,8390) = 662810 / 1

LCM(79,8390) = 662810


Lets's calculate GCF of 694,1790

2 694, 1790
347, 895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 662810/2

Therefore the LCM of Fractions 79/694,8390/1790 is 331405

Greatest Common Factor of 694,1790 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,1790 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 1790

List of positive integer factors of 1790 that divides 1790 without a remainder.

1,2,5,10,179,358,895,1790

Greatest Common Factor

We found the factors 694,1790 . The biggest common factor number is the GCF number.
So the greatest common factor 694,1790 is 2.


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Frequently Asked Questions on Fractional LCM of 79/694, 8390/1790

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 79/694, 8390/1790?

Answer: LCM of Numerators as per given numbers 79/694, 8390/1790 is

LCM of Numerators i.e. for 79,8390 is 662810

GCF of denominators i.e. for 694,1790 is 2.

Thus, LCM of Fractions is 331405.Finally, LCM of Fractions for 79/694, 8390/1790 is 331405.