Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 899/28, 560/98, 324/235 quickly i.e. 40778640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 899/28, 560/98, 324/235 is 40778640.
LCM(899/28, 560/98, 324/235) = 40778640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 899/28,560/98,324/235
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 899,560,324
Least Common Multiple of Numerators i.e. LCM of 899,560,324 is 40778640.
GCF of Denominators means GCF of 28,98,235 as per the given fractions.
GCF of 28,98,235 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 899,560,324
2 | 899, 560, 324 |
2 | 899, 280, 162 |
899, 140, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 899 x 140 x 81 = 40778640
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 899,560,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,560,324) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(899,560,324) x common factors =1 x 4 = 4
LCM(899,560,324) = ( 899 × 560 × 324 ) / 4
LCM(899,560,324) = 163114560 / 4
LCM(899,560,324) = 40778640
Lets's calculate GCF of 28,98,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40778640/1
Therefore the LCM of Fractions 899/28,560/98,324/235 is 40778640
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 28,98,235 . The biggest common factor number is the GCF number.
So the greatest common factor 28,98,235 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 899/28, 560/98, 324/235?
Answer: LCM of Numerators as per given numbers 899/28, 560/98, 324/235 is
LCM of Numerators i.e. for 899,560,324 is 40778640
GCF of denominators i.e. for 28,98,235 is 1.
Thus, LCM of Fractions is 40778640.Finally, LCM of Fractions for 899/28, 560/98, 324/235 is 40778640.