Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 797/468, 970/875, 981/659 quickly i.e. 758401290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 797/468, 970/875, 981/659 is 758401290.
LCM(797/468, 970/875, 981/659) = 758401290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 797/468,970/875,981/659
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 797,970,981
Least Common Multiple of Numerators i.e. LCM of 797,970,981 is 758401290.
GCF of Denominators means GCF of 468,875,659 as per the given fractions.
GCF of 468,875,659 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 797,970,981
Given numbers has no common factors except 1. So, there LCM is their product i.e 758401290
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 797,970,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,970,981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,970,981) x common factors =1 x 1 = 1
LCM(797,970,981) = ( 797 × 970 × 981 ) / 1
LCM(797,970,981) = 758401290 / 1
LCM(797,970,981) = 758401290
Lets's calculate GCF of 468,875,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 758401290/1
Therefore the LCM of Fractions 797/468,970/875,981/659 is 758401290
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Greatest Common Factor
We found the factors 468,875,659 . The biggest common factor number is the GCF number.
So the greatest common factor 468,875,659 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 797/468, 970/875, 981/659?
Answer: LCM of Numerators as per given numbers 797/468, 970/875, 981/659 is
LCM of Numerators i.e. for 797,970,981 is 758401290
GCF of denominators i.e. for 468,875,659 is 1.
Thus, LCM of Fractions is 758401290.Finally, LCM of Fractions for 797/468, 970/875, 981/659 is 758401290.