Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 369/290, 860/845, 890/633 quickly i.e. 28243260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 369/290, 860/845, 890/633 is 28243260.
LCM(369/290, 860/845, 890/633) = 28243260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 369/290,860/845,890/633
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 369,860,890
Least Common Multiple of Numerators i.e. LCM of 369,860,890 is 28243260.
GCF of Denominators means GCF of 290,845,633 as per the given fractions.
GCF of 290,845,633 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 369,860,890
2 | 369, 860, 890 |
5 | 369, 430, 445 |
369, 86, 89 |
∴ So the LCM of the given numbers is 2 x 5 x 369 x 86 x 89 = 28243260
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 369,860,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,860,890) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(369,860,890) x common factors =1 x 10 = 10
LCM(369,860,890) = ( 369 × 860 × 890 ) / 10
LCM(369,860,890) = 282432600 / 10
LCM(369,860,890) = 28243260
Lets's calculate GCF of 290,845,633
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28243260/1
Therefore the LCM of Fractions 369/290,860/845,890/633 is 28243260
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 290,845,633 . The biggest common factor number is the GCF number.
So the greatest common factor 290,845,633 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 369/290, 860/845, 890/633?
Answer: LCM of Numerators as per given numbers 369/290, 860/845, 890/633 is
LCM of Numerators i.e. for 369,860,890 is 28243260
GCF of denominators i.e. for 290,845,633 is 1.
Thus, LCM of Fractions is 28243260.Finally, LCM of Fractions for 369/290, 860/845, 890/633 is 28243260.