Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/446, 9722/7638 quickly i.e. 204162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/446, 9722/7638 is 204162.
LCM(84/446, 9722/7638) = 204162
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/446,9722/7638
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 84,9722
Least Common Multiple of Numerators i.e. LCM of 84,9722 is 408324.
GCF of Denominators means GCF of 446,7638 as per the given fractions.
GCF of 446,7638 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,9722
2 | 84, 9722 |
42, 4861 |
∴ So the LCM of the given numbers is 2 x 42 x 4861 = 408324
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 84,9722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,9722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(84,9722) x common factors =2 x 1 = 2
LCM(84,9722) = ( 84 × 9722 ) / 2
LCM(84,9722) = 816648 / 2
LCM(84,9722) = 408324
Lets's calculate GCF of 446,7638
2 | 446, 7638 |
223, 3819 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408324/2
Therefore the LCM of Fractions 84/446,9722/7638 is 204162
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 7638
List of positive integer factors of 7638 that divides 7638 without a remainder.
1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638
Greatest Common Factor
We found the factors 446,7638 . The biggest common factor number is the GCF number.
So the greatest common factor 446,7638 is 2.
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 84/446, 9722/7638?
Answer: LCM of Numerators as per given numbers 84/446, 9722/7638 is
LCM of Numerators i.e. for 84,9722 is 408324
GCF of denominators i.e. for 446,7638 is 2.
Thus, LCM of Fractions is 204162.Finally, LCM of Fractions for 84/446, 9722/7638 is 204162.