Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/945, 453/409, 910/687 quickly i.e. 2061150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/945, 453/409, 910/687 is 2061150.
LCM(25/945, 453/409, 910/687) = 2061150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/945,453/409,910/687
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 25,453,910
Least Common Multiple of Numerators i.e. LCM of 25,453,910 is 2061150.
GCF of Denominators means GCF of 945,409,687 as per the given fractions.
GCF of 945,409,687 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,453,910
5 | 25, 453, 910 |
5, 453, 182 |
∴ So the LCM of the given numbers is 5 x 5 x 453 x 182 = 2061150
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 25,453,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,453,910) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(25,453,910) x common factors =1 x 5 = 5
LCM(25,453,910) = ( 25 × 453 × 910 ) / 5
LCM(25,453,910) = 10305750 / 5
LCM(25,453,910) = 2061150
Lets's calculate GCF of 945,409,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2061150/1
Therefore the LCM of Fractions 25/945,453/409,910/687 is 2061150
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 945,409,687 . The biggest common factor number is the GCF number.
So the greatest common factor 945,409,687 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 25/945, 453/409, 910/687?
Answer: LCM of Numerators as per given numbers 25/945, 453/409, 910/687 is
LCM of Numerators i.e. for 25,453,910 is 2061150
GCF of denominators i.e. for 945,409,687 is 1.
Thus, LCM of Fractions is 2061150.Finally, LCM of Fractions for 25/945, 453/409, 910/687 is 2061150.