Least Common Multiple of 9917/694, 1893/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9917/694, 1893/122 quickly i.e. 18772881/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9917/694, 1893/122 is 18772881/2.

LCM(9917/694, 1893/122) = 18772881/2

LCM of 9917/694, 1893/122

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 9917/694,1893/122

Given numbers are 9917/694,1893/122

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 9917,1893

Least Common Multiple of Numerators i.e. LCM of 9917,1893 is 18772881.

GCF of Denominators means GCF of 694,122 as per the given fractions.

GCF of 694,122 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9917,1893

LCM of Fractions 9917/694,1893/122 is 18772881/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 18772881

Least Common Multiple of 9917,1893 with GCF Formula

Least Common Multiple of 9917,1893 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 9917,1893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9917,1893) = 1

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

GCF(9917,1893) x common factors =1 x 1 = 1

LCM(9917,1893) = ( 9917 × 1893 ) / 1

LCM(9917,1893) = 18772881 / 1

LCM(9917,1893) = 18772881


Lets's calculate GCF of 694,122

2 694, 122
347, 61

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18772881/2

Therefore the LCM of Fractions 9917/694,1893/122 is 18772881/2

Greatest Common Factor of 694,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,122 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 694,122 . The biggest common factor number is the GCF number.
So the greatest common factor 694,122 is 2.


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 9917/694, 1893/122

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 9917/694, 1893/122?

Answer: LCM of Numerators as per given numbers 9917/694, 1893/122 is

LCM of Numerators i.e. for 9917,1893 is 18772881

GCF of denominators i.e. for 694,122 is 2.

Thus, LCM of Fractions is 18772881/2.Finally, LCM of Fractions for 9917/694, 1893/122 is 18772881/2.