Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/74, 833/45, 448/899 quickly i.e. 3465280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/74, 833/45, 448/899 is 3465280.
LCM(65/74, 833/45, 448/899) = 3465280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/74,833/45,448/899
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 65,833,448
Least Common Multiple of Numerators i.e. LCM of 65,833,448 is 3465280.
GCF of Denominators means GCF of 74,45,899 as per the given fractions.
GCF of 74,45,899 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,833,448
7 | 65, 833, 448 |
65, 119, 64 |
∴ So the LCM of the given numbers is 7 x 65 x 119 x 64 = 3465280
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 65,833,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,833,448) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(65,833,448) x common factors =1 x 7 = 7
LCM(65,833,448) = ( 65 × 833 × 448 ) / 7
LCM(65,833,448) = 24256960 / 7
LCM(65,833,448) = 3465280
Lets's calculate GCF of 74,45,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3465280/1
Therefore the LCM of Fractions 65/74,833/45,448/899 is 3465280
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 74,45,899 . The biggest common factor number is the GCF number.
So the greatest common factor 74,45,899 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 65/74, 833/45, 448/899?
Answer: LCM of Numerators as per given numbers 65/74, 833/45, 448/899 is
LCM of Numerators i.e. for 65,833,448 is 3465280
GCF of denominators i.e. for 74,45,899 is 1.
Thus, LCM of Fractions is 3465280.Finally, LCM of Fractions for 65/74, 833/45, 448/899 is 3465280.