Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 159/663, 970/494, 320/522 quickly i.e. 4935360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 159/663, 970/494, 320/522 is 4935360.
LCM(159/663, 970/494, 320/522) = 4935360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 159/663,970/494,320/522
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 159,970,320
Least Common Multiple of Numerators i.e. LCM of 159,970,320 is 4935360.
GCF of Denominators means GCF of 663,494,522 as per the given fractions.
GCF of 663,494,522 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 159,970,320
2 | 159, 970, 320 |
5 | 159, 485, 160 |
159, 97, 32 |
∴ So the LCM of the given numbers is 2 x 5 x 159 x 97 x 32 = 4935360
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 159,970,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,970,320) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(159,970,320) x common factors =1 x 10 = 10
LCM(159,970,320) = ( 159 × 970 × 320 ) / 10
LCM(159,970,320) = 49353600 / 10
LCM(159,970,320) = 4935360
Lets's calculate GCF of 663,494,522
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4935360/1
Therefore the LCM of Fractions 159/663,970/494,320/522 is 4935360
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 663,494,522 . The biggest common factor number is the GCF number.
So the greatest common factor 663,494,522 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 159/663, 970/494, 320/522?
Answer: LCM of Numerators as per given numbers 159/663, 970/494, 320/522 is
LCM of Numerators i.e. for 159,970,320 is 4935360
GCF of denominators i.e. for 663,494,522 is 1.
Thus, LCM of Fractions is 4935360.Finally, LCM of Fractions for 159/663, 970/494, 320/522 is 4935360.