Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 450/290, 900/837, 807/791 quickly i.e. 242100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 450/290, 900/837, 807/791 is 242100.
LCM(450/290, 900/837, 807/791) = 242100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 450/290,900/837,807/791
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 450,900,807
Least Common Multiple of Numerators i.e. LCM of 450,900,807 is 242100.
GCF of Denominators means GCF of 290,837,791 as per the given fractions.
GCF of 290,837,791 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 450,900,807
2 | 450, 900, 807 |
3 | 225, 450, 807 |
3 | 75, 150, 269 |
5 | 25, 50, 269 |
5 | 5, 10, 269 |
1, 2, 269 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 5 x 1 x 2 x 269 = 242100
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 450,900,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,900,807) = 3
common factors(in case of two or more numbers have common factors) = 450
GCF(450,900,807) x common factors =3 x 450 = 1350
LCM(450,900,807) = ( 450 × 900 × 807 ) / 1350
LCM(450,900,807) = 326835000 / 1350
LCM(450,900,807) = 242100
Lets's calculate GCF of 290,837,791
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242100/1
Therefore the LCM of Fractions 450/290,900/837,807/791 is 242100
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 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Greatest Common Factor
We found the factors 290,837,791 . The biggest common factor number is the GCF number.
So the greatest common factor 290,837,791 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 450/290, 900/837, 807/791?
Answer: LCM of Numerators as per given numbers 450/290, 900/837, 807/791 is
LCM of Numerators i.e. for 450,900,807 is 242100
GCF of denominators i.e. for 290,837,791 is 1.
Thus, LCM of Fractions is 242100.Finally, LCM of Fractions for 450/290, 900/837, 807/791 is 242100.