Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 717/954, 2030/9316 quickly i.e. 727755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 717/954, 2030/9316 is 727755.
LCM(717/954, 2030/9316) = 727755
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 717/954,2030/9316
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 717,2030
Least Common Multiple of Numerators i.e. LCM of 717,2030 is 1455510.
GCF of Denominators means GCF of 954,9316 as per the given fractions.
GCF of 954,9316 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 717,2030
Given numbers has no common factors except 1. So, there LCM is their product i.e 1455510
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 717,2030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,2030) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,2030) x common factors =1 x 1 = 1
LCM(717,2030) = ( 717 × 2030 ) / 1
LCM(717,2030) = 1455510 / 1
LCM(717,2030) = 1455510
Lets's calculate GCF of 954,9316
2 | 954, 9316 |
477, 4658 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1455510/2
Therefore the LCM of Fractions 717/954,2030/9316 is 727755
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 9316
List of positive integer factors of 9316 that divides 9316 without a remainder.
1,2,4,17,34,68,137,274,548,2329,4658,9316
Greatest Common Factor
We found the factors 954,9316 . The biggest common factor number is the GCF number.
So the greatest common factor 954,9316 is 2.
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 717/954, 2030/9316?
Answer: LCM of Numerators as per given numbers 717/954, 2030/9316 is
LCM of Numerators i.e. for 717,2030 is 1455510
GCF of denominators i.e. for 954,9316 is 2.
Thus, LCM of Fractions is 727755.Finally, LCM of Fractions for 717/954, 2030/9316 is 727755.