Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 927/29, 834/3215 quickly i.e. 257706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 927/29, 834/3215 is 257706.
LCM(927/29, 834/3215) = 257706
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 927/29,834/3215
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 927,834
Least Common Multiple of Numerators i.e. LCM of 927,834 is 257706.
GCF of Denominators means GCF of 29,3215 as per the given fractions.
GCF of 29,3215 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 927,834
3 | 927, 834 |
309, 278 |
∴ So the LCM of the given numbers is 3 x 309 x 278 = 257706
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 927,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,834) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,834) x common factors =3 x 1 = 3
LCM(927,834) = ( 927 × 834 ) / 3
LCM(927,834) = 773118 / 3
LCM(927,834) = 257706
Lets's calculate GCF of 29,3215
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257706/1
Therefore the LCM of Fractions 927/29,834/3215 is 257706
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 3215
List of positive integer factors of 3215 that divides 3215 without a remainder.
1,5,643,3215
Greatest Common Factor
We found the factors 29,3215 . The biggest common factor number is the GCF number.
So the greatest common factor 29,3215 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 927/29, 834/3215?
Answer: LCM of Numerators as per given numbers 927/29, 834/3215 is
LCM of Numerators i.e. for 927,834 is 257706
GCF of denominators i.e. for 29,3215 is 1.
Thus, LCM of Fractions is 257706.Finally, LCM of Fractions for 927/29, 834/3215 is 257706.