Least Common Multiple of 3924/713, 1915/8361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3924/713, 1915/8361 quickly i.e. 7514460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3924/713, 1915/8361 is 7514460.

LCM(3924/713, 1915/8361) = 7514460

LCM of 3924/713, 1915/8361

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 3924/713,1915/8361

Given numbers are 3924/713,1915/8361

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 3924,1915

Least Common Multiple of Numerators i.e. LCM of 3924,1915 is 7514460.

GCF of Denominators means GCF of 713,8361 as per the given fractions.

GCF of 713,8361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3924,1915

LCM of Fractions 3924/713,1915/8361 is 7514460

Given numbers has no common factors except 1. So, there LCM is their product i.e 7514460

Least Common Multiple of 3924,1915 with GCF Formula

Least Common Multiple of 3924,1915 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 3924,1915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3924,1915) = 1

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

GCF(3924,1915) x common factors =1 x 1 = 1

LCM(3924,1915) = ( 3924 × 1915 ) / 1

LCM(3924,1915) = 7514460 / 1

LCM(3924,1915) = 7514460


Lets's calculate GCF of 713,8361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7514460/1

Therefore the LCM of Fractions 3924/713,1915/8361 is 7514460

Greatest Common Factor of 713,8361 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,8361 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 8361

List of positive integer factors of 8361 that divides 8361 without a remainder.

1,3,9,929,2787,8361

Greatest Common Factor

We found the factors 713,8361 . The biggest common factor number is the GCF number.
So the greatest common factor 713,8361 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3924/713, 1915/8361

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 3924/713, 1915/8361?

Answer: LCM of Numerators as per given numbers 3924/713, 1915/8361 is

LCM of Numerators i.e. for 3924,1915 is 7514460

GCF of denominators i.e. for 713,8361 is 1.

Thus, LCM of Fractions is 7514460.Finally, LCM of Fractions for 3924/713, 1915/8361 is 7514460.