Least Common Multiple of 7965/29, 9934/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7965/29, 9934/580 quickly i.e. 79124310/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7965/29, 9934/580 is 79124310/29.

LCM(7965/29, 9934/580) = 79124310/29

LCM of 7965/29, 9934/580

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 7965/29,9934/580

Given numbers are 7965/29,9934/580

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 7965,9934

Least Common Multiple of Numerators i.e. LCM of 7965,9934 is 79124310.

GCF of Denominators means GCF of 29,580 as per the given fractions.

GCF of 29,580 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7965,9934

LCM of Fractions 7965/29,9934/580 is 79124310/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 79124310

Least Common Multiple of 7965,9934 with GCF Formula

Least Common Multiple of 7965,9934 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 7965,9934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7965,9934) = 1

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

GCF(7965,9934) x common factors =1 x 1 = 1

LCM(7965,9934) = ( 7965 × 9934 ) / 1

LCM(7965,9934) = 79124310 / 1

LCM(7965,9934) = 79124310


Lets's calculate GCF of 29,580

29 29, 580
1, 20

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79124310/29

Therefore the LCM of Fractions 7965/29,9934/580 is 79124310/29

Greatest Common Factor of 29,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,580 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 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

Greatest Common Factor

We found the factors 29,580 . The biggest common factor number is the GCF number.
So the greatest common factor 29,580 is 29.


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Frequently Asked Questions on Fractional LCM of 7965/29, 9934/580

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 7965/29, 9934/580?

Answer: LCM of Numerators as per given numbers 7965/29, 9934/580 is

LCM of Numerators i.e. for 7965,9934 is 79124310

GCF of denominators i.e. for 29,580 is 29.

Thus, LCM of Fractions is 79124310/29.Finally, LCM of Fractions for 7965/29, 9934/580 is 79124310/29.