Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 943/984, 530/313, 795/244 quickly i.e. 1499370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 943/984, 530/313, 795/244 is 1499370.
LCM(943/984, 530/313, 795/244) = 1499370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 943/984,530/313,795/244
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 943,530,795
Least Common Multiple of Numerators i.e. LCM of 943,530,795 is 1499370.
GCF of Denominators means GCF of 984,313,244 as per the given fractions.
GCF of 984,313,244 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 943,530,795
5 | 943, 530, 795 |
53 | 943, 106, 159 |
943, 2, 3 |
∴ So the LCM of the given numbers is 5 x 53 x 943 x 2 x 3 = 1499370
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 943,530,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,530,795) = 1
common factors(in case of two or more numbers have common factors) = 265
GCF(943,530,795) x common factors =1 x 265 = 265
LCM(943,530,795) = ( 943 × 530 × 795 ) / 265
LCM(943,530,795) = 397333050 / 265
LCM(943,530,795) = 1499370
Lets's calculate GCF of 984,313,244
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1499370/1
Therefore the LCM of Fractions 943/984,530/313,795/244 is 1499370
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 984,313,244 . The biggest common factor number is the GCF number.
So the greatest common factor 984,313,244 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 943/984, 530/313, 795/244?
Answer: LCM of Numerators as per given numbers 943/984, 530/313, 795/244 is
LCM of Numerators i.e. for 943,530,795 is 1499370
GCF of denominators i.e. for 984,313,244 is 1.
Thus, LCM of Fractions is 1499370.Finally, LCM of Fractions for 943/984, 530/313, 795/244 is 1499370.