Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 982/245, 717/553 quickly i.e. 704094/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 982/245, 717/553 is 704094/7.
LCM(982/245, 717/553) = 704094/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 982/245,717/553
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 982,717
Least Common Multiple of Numerators i.e. LCM of 982,717 is 704094.
GCF of Denominators means GCF of 245,553 as per the given fractions.
GCF of 245,553 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 982,717
Given numbers has no common factors except 1. So, there LCM is their product i.e 704094
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 982,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,717) x common factors =1 x 1 = 1
LCM(982,717) = ( 982 × 717 ) / 1
LCM(982,717) = 704094 / 1
LCM(982,717) = 704094
Lets's calculate GCF of 245,553
7 | 245, 553 |
35, 79 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 704094/7
Therefore the LCM of Fractions 982/245,717/553 is 704094/7
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Greatest Common Factor
We found the factors 245,553 . The biggest common factor number is the GCF number.
So the greatest common factor 245,553 is 7.
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 982/245, 717/553?
Answer: LCM of Numerators as per given numbers 982/245, 717/553 is
LCM of Numerators i.e. for 982,717 is 704094
GCF of denominators i.e. for 245,553 is 7.
Thus, LCM of Fractions is 704094/7.Finally, LCM of Fractions for 982/245, 717/553 is 704094/7.