Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/98, 791/97, 483/959 quickly i.e. 4530057 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/98, 791/97, 483/959 is 4530057.
LCM(83/98, 791/97, 483/959) = 4530057
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/98,791/97,483/959
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 83,791,483
Least Common Multiple of Numerators i.e. LCM of 83,791,483 is 4530057.
GCF of Denominators means GCF of 98,97,959 as per the given fractions.
GCF of 98,97,959 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,791,483
7 | 83, 791, 483 |
83, 113, 69 |
∴ So the LCM of the given numbers is 7 x 83 x 113 x 69 = 4530057
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 83,791,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,791,483) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(83,791,483) x common factors =1 x 7 = 7
LCM(83,791,483) = ( 83 × 791 × 483 ) / 7
LCM(83,791,483) = 31710399 / 7
LCM(83,791,483) = 4530057
Lets's calculate GCF of 98,97,959
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4530057/1
Therefore the LCM of Fractions 83/98,791/97,483/959 is 4530057
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Greatest Common Factor
We found the factors 98,97,959 . The biggest common factor number is the GCF number.
So the greatest common factor 98,97,959 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 83/98, 791/97, 483/959?
Answer: LCM of Numerators as per given numbers 83/98, 791/97, 483/959 is
LCM of Numerators i.e. for 83,791,483 is 4530057
GCF of denominators i.e. for 98,97,959 is 1.
Thus, LCM of Fractions is 4530057.Finally, LCM of Fractions for 83/98, 791/97, 483/959 is 4530057.