Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/856, 17/625, 801/433 quickly i.e. 830637 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/856, 17/625, 801/433 is 830637.
LCM(61/856, 17/625, 801/433) = 830637
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/856,17/625,801/433
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 61,17,801
Least Common Multiple of Numerators i.e. LCM of 61,17,801 is 830637.
GCF of Denominators means GCF of 856,625,433 as per the given fractions.
GCF of 856,625,433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,17,801
Given numbers has no common factors except 1. So, there LCM is their product i.e 830637
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 61,17,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,17,801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,17,801) x common factors =1 x 1 = 1
LCM(61,17,801) = ( 61 × 17 × 801 ) / 1
LCM(61,17,801) = 830637 / 1
LCM(61,17,801) = 830637
Lets's calculate GCF of 856,625,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 830637/1
Therefore the LCM of Fractions 61/856,17/625,801/433 is 830637
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 856,625,433 . The biggest common factor number is the GCF number.
So the greatest common factor 856,625,433 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 61/856, 17/625, 801/433?
Answer: LCM of Numerators as per given numbers 61/856, 17/625, 801/433 is
LCM of Numerators i.e. for 61,17,801 is 830637
GCF of denominators i.e. for 856,625,433 is 1.
Thus, LCM of Fractions is 830637.Finally, LCM of Fractions for 61/856, 17/625, 801/433 is 830637.