Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 120/421, 981/451, 122/401 quickly i.e. 2393640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 120/421, 981/451, 122/401 is 2393640.
LCM(120/421, 981/451, 122/401) = 2393640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 120/421,981/451,122/401
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 120,981,122
Least Common Multiple of Numerators i.e. LCM of 120,981,122 is 2393640.
GCF of Denominators means GCF of 421,451,401 as per the given fractions.
GCF of 421,451,401 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 120,981,122
2 | 120, 981, 122 |
3 | 60, 981, 61 |
20, 327, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 20 x 327 x 61 = 2393640
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 120,981,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,981,122) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(120,981,122) x common factors =1 x 6 = 6
LCM(120,981,122) = ( 120 × 981 × 122 ) / 6
LCM(120,981,122) = 14361840 / 6
LCM(120,981,122) = 2393640
Lets's calculate GCF of 421,451,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2393640/1
Therefore the LCM of Fractions 120/421,981/451,122/401 is 2393640
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Greatest Common Factor
We found the factors 421,451,401 . The biggest common factor number is the GCF number.
So the greatest common factor 421,451,401 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 120/421, 981/451, 122/401?
Answer: LCM of Numerators as per given numbers 120/421, 981/451, 122/401 is
LCM of Numerators i.e. for 120,981,122 is 2393640
GCF of denominators i.e. for 421,451,401 is 1.
Thus, LCM of Fractions is 2393640.Finally, LCM of Fractions for 120/421, 981/451, 122/401 is 2393640.