Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 422/51, 707/15, 652/114 quickly i.e. 97263404/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 422/51, 707/15, 652/114 is 97263404/3.
LCM(422/51, 707/15, 652/114) = 97263404/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 422/51,707/15,652/114
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 422,707,652
Least Common Multiple of Numerators i.e. LCM of 422,707,652 is 97263404.
GCF of Denominators means GCF of 51,15,114 as per the given fractions.
GCF of 51,15,114 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 422,707,652
2 | 422, 707, 652 |
211, 707, 326 |
∴ So the LCM of the given numbers is 2 x 211 x 707 x 326 = 97263404
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 422,707,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,707,652) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(422,707,652) x common factors =1 x 2 = 2
LCM(422,707,652) = ( 422 × 707 × 652 ) / 2
LCM(422,707,652) = 194526808 / 2
LCM(422,707,652) = 97263404
Lets's calculate GCF of 51,15,114
3 | 51, 15, 114 |
17, 5, 38 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97263404/3
Therefore the LCM of Fractions 422/51,707/15,652/114 is 97263404/3
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 51,15,114 . The biggest common factor number is the GCF number.
So the greatest common factor 51,15,114 is 3.
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 422/51, 707/15, 652/114?
Answer: LCM of Numerators as per given numbers 422/51, 707/15, 652/114 is
LCM of Numerators i.e. for 422,707,652 is 97263404
GCF of denominators i.e. for 51,15,114 is 3.
Thus, LCM of Fractions is 97263404/3.Finally, LCM of Fractions for 422/51, 707/15, 652/114 is 97263404/3.