Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/122, 76/556, 93/801 quickly i.e. 21204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/122, 76/556, 93/801 is 21204.
LCM(9/122, 76/556, 93/801) = 21204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/122,76/556,93/801
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 9,76,93
Least Common Multiple of Numerators i.e. LCM of 9,76,93 is 21204.
GCF of Denominators means GCF of 122,556,801 as per the given fractions.
GCF of 122,556,801 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,76,93
3 | 9, 76, 93 |
3, 76, 31 |
∴ So the LCM of the given numbers is 3 x 3 x 76 x 31 = 21204
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 9,76,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,76,93) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(9,76,93) x common factors =1 x 3 = 3
LCM(9,76,93) = ( 9 × 76 × 93 ) / 3
LCM(9,76,93) = 63612 / 3
LCM(9,76,93) = 21204
Lets's calculate GCF of 122,556,801
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21204/1
Therefore the LCM of Fractions 9/122,76/556,93/801 is 21204
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 122,556,801 . The biggest common factor number is the GCF number.
So the greatest common factor 122,556,801 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 9/122, 76/556, 93/801?
Answer: LCM of Numerators as per given numbers 9/122, 76/556, 93/801 is
LCM of Numerators i.e. for 9,76,93 is 21204
GCF of denominators i.e. for 122,556,801 is 1.
Thus, LCM of Fractions is 21204.Finally, LCM of Fractions for 9/122, 76/556, 93/801 is 21204.