Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/979, 68/713, 366/469 quickly i.e. 609756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/979, 68/713, 366/469 is 609756.
LCM(98/979, 68/713, 366/469) = 609756
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/979,68/713,366/469
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 98,68,366
Least Common Multiple of Numerators i.e. LCM of 98,68,366 is 609756.
GCF of Denominators means GCF of 979,713,469 as per the given fractions.
GCF of 979,713,469 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,68,366
2 | 98, 68, 366 |
49, 34, 183 |
∴ So the LCM of the given numbers is 2 x 49 x 34 x 183 = 609756
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 98,68,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,68,366) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(98,68,366) x common factors =2 x 2 = 4
LCM(98,68,366) = ( 98 × 68 × 366 ) / 4
LCM(98,68,366) = 2439024 / 4
LCM(98,68,366) = 609756
Lets's calculate GCF of 979,713,469
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 609756/1
Therefore the LCM of Fractions 98/979,68/713,366/469 is 609756
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Greatest Common Factor
We found the factors 979,713,469 . The biggest common factor number is the GCF number.
So the greatest common factor 979,713,469 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 98/979, 68/713, 366/469?
Answer: LCM of Numerators as per given numbers 98/979, 68/713, 366/469 is
LCM of Numerators i.e. for 98,68,366 is 609756
GCF of denominators i.e. for 979,713,469 is 1.
Thus, LCM of Fractions is 609756.Finally, LCM of Fractions for 98/979, 68/713, 366/469 is 609756.