Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 662/790, 7008/9579 quickly i.e. 2319648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 662/790, 7008/9579 is 2319648.
LCM(662/790, 7008/9579) = 2319648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 662/790,7008/9579
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 662,7008
Least Common Multiple of Numerators i.e. LCM of 662,7008 is 2319648.
GCF of Denominators means GCF of 790,9579 as per the given fractions.
GCF of 790,9579 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 662,7008
2 | 662, 7008 |
331, 3504 |
∴ So the LCM of the given numbers is 2 x 331 x 3504 = 2319648
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 662,7008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,7008) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,7008) x common factors =2 x 1 = 2
LCM(662,7008) = ( 662 × 7008 ) / 2
LCM(662,7008) = 4639296 / 2
LCM(662,7008) = 2319648
Lets's calculate GCF of 790,9579
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2319648/1
Therefore the LCM of Fractions 662/790,7008/9579 is 2319648
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 9579
List of positive integer factors of 9579 that divides 9579 without a remainder.
1,3,31,93,103,309,3193,9579
Greatest Common Factor
We found the factors 790,9579 . The biggest common factor number is the GCF number.
So the greatest common factor 790,9579 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 662/790, 7008/9579?
Answer: LCM of Numerators as per given numbers 662/790, 7008/9579 is
LCM of Numerators i.e. for 662,7008 is 2319648
GCF of denominators i.e. for 790,9579 is 1.
Thus, LCM of Fractions is 2319648.Finally, LCM of Fractions for 662/790, 7008/9579 is 2319648.