Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/782, 613/616, 709/998 quickly i.e. 6519255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/782, 613/616, 709/998 is 6519255.
LCM(30/782, 613/616, 709/998) = 6519255
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/782,613/616,709/998
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 30,613,709
Least Common Multiple of Numerators i.e. LCM of 30,613,709 is 13038510.
GCF of Denominators means GCF of 782,616,998 as per the given fractions.
GCF of 782,616,998 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,613,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 13038510
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 30,613,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,613,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,613,709) x common factors =1 x 1 = 1
LCM(30,613,709) = ( 30 × 613 × 709 ) / 1
LCM(30,613,709) = 13038510 / 1
LCM(30,613,709) = 13038510
Lets's calculate GCF of 782,616,998
2 | 782, 616, 998 |
391, 308, 499 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13038510/2
Therefore the LCM of Fractions 30/782,613/616,709/998 is 6519255
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Greatest Common Factor
We found the factors 782,616,998 . The biggest common factor number is the GCF number.
So the greatest common factor 782,616,998 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 30/782, 613/616, 709/998?
Answer: LCM of Numerators as per given numbers 30/782, 613/616, 709/998 is
LCM of Numerators i.e. for 30,613,709 is 13038510
GCF of denominators i.e. for 782,616,998 is 2.
Thus, LCM of Fractions is 6519255.Finally, LCM of Fractions for 30/782, 613/616, 709/998 is 6519255.