Least Common Multiple of 3905/815, 8742/5050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3905/815, 8742/5050 quickly i.e. 6827502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3905/815, 8742/5050 is 6827502.

LCM(3905/815, 8742/5050) = 6827502

LCM of 3905/815, 8742/5050

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 3905/815,8742/5050

Given numbers are 3905/815,8742/5050

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 3905,8742

Least Common Multiple of Numerators i.e. LCM of 3905,8742 is 34137510.

GCF of Denominators means GCF of 815,5050 as per the given fractions.

GCF of 815,5050 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3905,8742

LCM of Fractions 3905/815,8742/5050 is 6827502

Given numbers has no common factors except 1. So, there LCM is their product i.e 34137510

Least Common Multiple of 3905,8742 with GCF Formula

Least Common Multiple of 3905,8742 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 3905,8742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3905,8742) = 1

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

GCF(3905,8742) x common factors =1 x 1 = 1

LCM(3905,8742) = ( 3905 × 8742 ) / 1

LCM(3905,8742) = 34137510 / 1

LCM(3905,8742) = 34137510


Lets's calculate GCF of 815,5050

5 815, 5050
163, 1010

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34137510/5

Therefore the LCM of Fractions 3905/815,8742/5050 is 6827502

Greatest Common Factor of 815,5050 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,5050 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 5050

List of positive integer factors of 5050 that divides 5050 without a remainder.

1,2,5,10,25,50,101,202,505,1010,2525,5050

Greatest Common Factor

We found the factors 815,5050 . The biggest common factor number is the GCF number.
So the greatest common factor 815,5050 is 5.


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 3905/815, 8742/5050

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 3905/815, 8742/5050?

Answer: LCM of Numerators as per given numbers 3905/815, 8742/5050 is

LCM of Numerators i.e. for 3905,8742 is 34137510

GCF of denominators i.e. for 815,5050 is 5.

Thus, LCM of Fractions is 6827502.Finally, LCM of Fractions for 3905/815, 8742/5050 is 6827502.