Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 856/898, 859/446, 556/173 quickly i.e. 102207256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 856/898, 859/446, 556/173 is 102207256.
LCM(856/898, 859/446, 556/173) = 102207256
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 856/898,859/446,556/173
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 856,859,556
Least Common Multiple of Numerators i.e. LCM of 856,859,556 is 102207256.
GCF of Denominators means GCF of 898,446,173 as per the given fractions.
GCF of 898,446,173 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 856,859,556
2 | 856, 859, 556 |
2 | 428, 859, 278 |
214, 859, 139 |
∴ So the LCM of the given numbers is 2 x 2 x 214 x 859 x 139 = 102207256
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 856,859,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,859,556) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(856,859,556) x common factors =1 x 4 = 4
LCM(856,859,556) = ( 856 × 859 × 556 ) / 4
LCM(856,859,556) = 408829024 / 4
LCM(856,859,556) = 102207256
Lets's calculate GCF of 898,446,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102207256/1
Therefore the LCM of Fractions 856/898,859/446,556/173 is 102207256
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Greatest Common Factor
We found the factors 898,446,173 . The biggest common factor number is the GCF number.
So the greatest common factor 898,446,173 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 856/898, 859/446, 556/173?
Answer: LCM of Numerators as per given numbers 856/898, 859/446, 556/173 is
LCM of Numerators i.e. for 856,859,556 is 102207256
GCF of denominators i.e. for 898,446,173 is 1.
Thus, LCM of Fractions is 102207256.Finally, LCM of Fractions for 856/898, 859/446, 556/173 is 102207256.