Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 830/98, 713/4967 quickly i.e. 591790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 830/98, 713/4967 is 591790.
LCM(830/98, 713/4967) = 591790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 830/98,713/4967
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 830,713
Least Common Multiple of Numerators i.e. LCM of 830,713 is 591790.
GCF of Denominators means GCF of 98,4967 as per the given fractions.
GCF of 98,4967 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 830,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 591790
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 830,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(830,713) x common factors =1 x 1 = 1
LCM(830,713) = ( 830 × 713 ) / 1
LCM(830,713) = 591790 / 1
LCM(830,713) = 591790
Lets's calculate GCF of 98,4967
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 591790/1
Therefore the LCM of Fractions 830/98,713/4967 is 591790
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 4967
List of positive integer factors of 4967 that divides 4967 without a remainder.
1,4967
Greatest Common Factor
We found the factors 98,4967 . The biggest common factor number is the GCF number.
So the greatest common factor 98,4967 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 830/98, 713/4967?
Answer: LCM of Numerators as per given numbers 830/98, 713/4967 is
LCM of Numerators i.e. for 830,713 is 591790
GCF of denominators i.e. for 98,4967 is 1.
Thus, LCM of Fractions is 591790.Finally, LCM of Fractions for 830/98, 713/4967 is 591790.