Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/95, 34/838, 917/204 quickly i.e. 2026570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/95, 34/838, 917/204 is 2026570.
LCM(65/95, 34/838, 917/204) = 2026570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/95,34/838,917/204
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 65,34,917
Least Common Multiple of Numerators i.e. LCM of 65,34,917 is 2026570.
GCF of Denominators means GCF of 95,838,204 as per the given fractions.
GCF of 95,838,204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,34,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 2026570
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 65,34,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,34,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,34,917) x common factors =1 x 1 = 1
LCM(65,34,917) = ( 65 × 34 × 917 ) / 1
LCM(65,34,917) = 2026570 / 1
LCM(65,34,917) = 2026570
Lets's calculate GCF of 95,838,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2026570/1
Therefore the LCM of Fractions 65/95,34/838,917/204 is 2026570
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 95,838,204 . The biggest common factor number is the GCF number.
So the greatest common factor 95,838,204 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 65/95, 34/838, 917/204?
Answer: LCM of Numerators as per given numbers 65/95, 34/838, 917/204 is
LCM of Numerators i.e. for 65,34,917 is 2026570
GCF of denominators i.e. for 95,838,204 is 1.
Thus, LCM of Fractions is 2026570.Finally, LCM of Fractions for 65/95, 34/838, 917/204 is 2026570.