Least Common Multiple of 7730/820, 9631/3713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7730/820, 9631/3713 quickly i.e. 74447630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7730/820, 9631/3713 is 74447630.

LCM(7730/820, 9631/3713) = 74447630

LCM of 7730/820, 9631/3713

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 7730/820,9631/3713

Given numbers are 7730/820,9631/3713

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 7730,9631

Least Common Multiple of Numerators i.e. LCM of 7730,9631 is 74447630.

GCF of Denominators means GCF of 820,3713 as per the given fractions.

GCF of 820,3713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7730,9631

LCM of Fractions 7730/820,9631/3713 is 74447630

Given numbers has no common factors except 1. So, there LCM is their product i.e 74447630

Least Common Multiple of 7730,9631 with GCF Formula

Least Common Multiple of 7730,9631 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 7730,9631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7730,9631) = 1

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

GCF(7730,9631) x common factors =1 x 1 = 1

LCM(7730,9631) = ( 7730 × 9631 ) / 1

LCM(7730,9631) = 74447630 / 1

LCM(7730,9631) = 74447630


Lets's calculate GCF of 820,3713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74447630/1

Therefore the LCM of Fractions 7730/820,9631/3713 is 74447630

Greatest Common Factor of 820,3713 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,3713 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 3713

List of positive integer factors of 3713 that divides 3713 without a remainder.

1,47,79,3713

Greatest Common Factor

We found the factors 820,3713 . The biggest common factor number is the GCF number.
So the greatest common factor 820,3713 is 1.


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 7730/820, 9631/3713

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 7730/820, 9631/3713?

Answer: LCM of Numerators as per given numbers 7730/820, 9631/3713 is

LCM of Numerators i.e. for 7730,9631 is 74447630

GCF of denominators i.e. for 820,3713 is 1.

Thus, LCM of Fractions is 74447630.Finally, LCM of Fractions for 7730/820, 9631/3713 is 74447630.