Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/10, 52/39, 425/661 quickly i.e. 243100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/10, 52/39, 425/661 is 243100.
LCM(22/10, 52/39, 425/661) = 243100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/10,52/39,425/661
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 22,52,425
Least Common Multiple of Numerators i.e. LCM of 22,52,425 is 243100.
GCF of Denominators means GCF of 10,39,661 as per the given fractions.
GCF of 10,39,661 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,52,425
2 | 22, 52, 425 |
11, 26, 425 |
∴ So the LCM of the given numbers is 2 x 11 x 26 x 425 = 243100
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 22,52,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,52,425) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,52,425) x common factors =1 x 2 = 2
LCM(22,52,425) = ( 22 × 52 × 425 ) / 2
LCM(22,52,425) = 486200 / 2
LCM(22,52,425) = 243100
Lets's calculate GCF of 10,39,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243100/1
Therefore the LCM of Fractions 22/10,52/39,425/661 is 243100
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Greatest Common Factor
We found the factors 10,39,661 . The biggest common factor number is the GCF number.
So the greatest common factor 10,39,661 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 22/10, 52/39, 425/661?
Answer: LCM of Numerators as per given numbers 22/10, 52/39, 425/661 is
LCM of Numerators i.e. for 22,52,425 is 243100
GCF of denominators i.e. for 10,39,661 is 1.
Thus, LCM of Fractions is 243100.Finally, LCM of Fractions for 22/10, 52/39, 425/661 is 243100.