Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 694/30, 840/58, 965/781 quickly i.e. 56255640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 694/30, 840/58, 965/781 is 56255640.
LCM(694/30, 840/58, 965/781) = 56255640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 694/30,840/58,965/781
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 694,840,965
Least Common Multiple of Numerators i.e. LCM of 694,840,965 is 56255640.
GCF of Denominators means GCF of 30,58,781 as per the given fractions.
GCF of 30,58,781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 694,840,965
2 | 694, 840, 965 |
5 | 347, 420, 965 |
347, 84, 193 |
∴ So the LCM of the given numbers is 2 x 5 x 347 x 84 x 193 = 56255640
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 694,840,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,840,965) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(694,840,965) x common factors =1 x 10 = 10
LCM(694,840,965) = ( 694 × 840 × 965 ) / 10
LCM(694,840,965) = 562556400 / 10
LCM(694,840,965) = 56255640
Lets's calculate GCF of 30,58,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56255640/1
Therefore the LCM of Fractions 694/30,840/58,965/781 is 56255640
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 30,58,781 . The biggest common factor number is the GCF number.
So the greatest common factor 30,58,781 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 694/30, 840/58, 965/781?
Answer: LCM of Numerators as per given numbers 694/30, 840/58, 965/781 is
LCM of Numerators i.e. for 694,840,965 is 56255640
GCF of denominators i.e. for 30,58,781 is 1.
Thus, LCM of Fractions is 56255640.Finally, LCM of Fractions for 694/30, 840/58, 965/781 is 56255640.