Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/906, 25/635, 460/735 quickly i.e. 2300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/906, 25/635, 460/735 is 2300.
LCM(20/906, 25/635, 460/735) = 2300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/906,25/635,460/735
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 20,25,460
Least Common Multiple of Numerators i.e. LCM of 20,25,460 is 2300.
GCF of Denominators means GCF of 906,635,735 as per the given fractions.
GCF of 906,635,735 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,25,460
2 | 20, 25, 460 |
2 | 10, 25, 230 |
5 | 5, 25, 115 |
1, 5, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 5 x 23 = 2300
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 20,25,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,25,460) = 5
common factors(in case of two or more numbers have common factors) = 20
GCF(20,25,460) x common factors =5 x 20 = 100
LCM(20,25,460) = ( 20 × 25 × 460 ) / 100
LCM(20,25,460) = 230000 / 100
LCM(20,25,460) = 2300
Lets's calculate GCF of 906,635,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2300/1
Therefore the LCM of Fractions 20/906,25/635,460/735 is 2300
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 906,635,735 . The biggest common factor number is the GCF number.
So the greatest common factor 906,635,735 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 20/906, 25/635, 460/735?
Answer: LCM of Numerators as per given numbers 20/906, 25/635, 460/735 is
LCM of Numerators i.e. for 20,25,460 is 2300
GCF of denominators i.e. for 906,635,735 is 1.
Thus, LCM of Fractions is 2300.Finally, LCM of Fractions for 20/906, 25/635, 460/735 is 2300.