Least Common Multiple of 417/17, 121/9910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/17, 121/9910 quickly i.e. 50457 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/17, 121/9910 is 50457.

LCM(417/17, 121/9910) = 50457

LCM of 417/17, 121/9910

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 417/17,121/9910

Given numbers are 417/17,121/9910

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 417,121

Least Common Multiple of Numerators i.e. LCM of 417,121 is 50457.

GCF of Denominators means GCF of 17,9910 as per the given fractions.

GCF of 17,9910 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,121

LCM of Fractions 417/17,121/9910 is 50457

Given numbers has no common factors except 1. So, there LCM is their product i.e 50457

Least Common Multiple of 417,121 with GCF Formula

Least Common Multiple of 417,121 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 417,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,121) = 1

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

GCF(417,121) x common factors =1 x 1 = 1

LCM(417,121) = ( 417 × 121 ) / 1

LCM(417,121) = 50457 / 1

LCM(417,121) = 50457


Lets's calculate GCF of 17,9910

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50457/1

Therefore the LCM of Fractions 417/17,121/9910 is 50457

Greatest Common Factor of 17,9910 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,9910 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 9910

List of positive integer factors of 9910 that divides 9910 without a remainder.

1,2,5,10,991,1982,4955,9910

Greatest Common Factor

We found the factors 17,9910 . The biggest common factor number is the GCF number.
So the greatest common factor 17,9910 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 417/17, 121/9910

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 417/17, 121/9910?

Answer: LCM of Numerators as per given numbers 417/17, 121/9910 is

LCM of Numerators i.e. for 417,121 is 50457

GCF of denominators i.e. for 17,9910 is 1.

Thus, LCM of Fractions is 50457.Finally, LCM of Fractions for 417/17, 121/9910 is 50457.