Least Common Multiple of 83/17, 50/58, 415/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/17, 50/58, 415/241 quickly i.e. 4150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/17, 50/58, 415/241 is 4150.

LCM(83/17, 50/58, 415/241) = 4150

LCM of 83/17, 50/58, 415/241

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 83/17,50/58,415/241

Given numbers are 83/17,50/58,415/241

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 83,50,415

Least Common Multiple of Numerators i.e. LCM of 83,50,415 is 4150.

GCF of Denominators means GCF of 17,58,241 as per the given fractions.

GCF of 17,58,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,50,415

LCM of Fractions 83/17,50/58,415/241 is 4150

5 83, 50, 415
83 83, 10, 83
1, 10, 1

∴ So the LCM of the given numbers is 5 x 83 x 1 x 10 x 1 = 4150

Least Common Multiple of 83,50,415 with GCF Formula

Least Common Multiple of 83,50,415 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 83,50,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,50,415) = 1

common factors(in case of two or more numbers have common factors) = 415

GCF(83,50,415) x common factors =1 x 415 = 415

LCM(83,50,415) = ( 83 × 50 × 415 ) / 415

LCM(83,50,415) = 1722250 / 415

LCM(83,50,415) = 4150


Lets's calculate GCF of 17,58,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4150/1

Therefore the LCM of Fractions 83/17,50/58,415/241 is 4150

Greatest Common Factor of 17,58,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,58,241 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 17,58,241 . The biggest common factor number is the GCF number.
So the greatest common factor 17,58,241 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 83/17, 50/58, 415/241

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 83/17, 50/58, 415/241?

Answer: LCM of Numerators as per given numbers 83/17, 50/58, 415/241 is

LCM of Numerators i.e. for 83,50,415 is 4150

GCF of denominators i.e. for 17,58,241 is 1.

Thus, LCM of Fractions is 4150.Finally, LCM of Fractions for 83/17, 50/58, 415/241 is 4150.