Least Common Multiple of 47/415, 8240/1742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/415, 8240/1742 quickly i.e. 387280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/415, 8240/1742 is 387280.

LCM(47/415, 8240/1742) = 387280

LCM of 47/415, 8240/1742

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 47/415,8240/1742

Given numbers are 47/415,8240/1742

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 47,8240

Least Common Multiple of Numerators i.e. LCM of 47,8240 is 387280.

GCF of Denominators means GCF of 415,1742 as per the given fractions.

GCF of 415,1742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,8240

LCM of Fractions 47/415,8240/1742 is 387280

Given numbers has no common factors except 1. So, there LCM is their product i.e 387280

Least Common Multiple of 47,8240 with GCF Formula

Least Common Multiple of 47,8240 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 47,8240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,8240) = 1

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

GCF(47,8240) x common factors =1 x 1 = 1

LCM(47,8240) = ( 47 × 8240 ) / 1

LCM(47,8240) = 387280 / 1

LCM(47,8240) = 387280


Lets's calculate GCF of 415,1742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387280/1

Therefore the LCM of Fractions 47/415,8240/1742 is 387280

Greatest Common Factor of 415,1742 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,1742 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 1742

List of positive integer factors of 1742 that divides 1742 without a remainder.

1,2,13,26,67,134,871,1742

Greatest Common Factor

We found the factors 415,1742 . The biggest common factor number is the GCF number.
So the greatest common factor 415,1742 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 47/415, 8240/1742

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 47/415, 8240/1742?

Answer: LCM of Numerators as per given numbers 47/415, 8240/1742 is

LCM of Numerators i.e. for 47,8240 is 387280

GCF of denominators i.e. for 415,1742 is 1.

Thus, LCM of Fractions is 387280.Finally, LCM of Fractions for 47/415, 8240/1742 is 387280.