Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/911, 182/28, 817/202 quickly i.e. 743470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/911, 182/28, 817/202 is 743470.
LCM(65/911, 182/28, 817/202) = 743470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/911,182/28,817/202
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 65,182,817
Least Common Multiple of Numerators i.e. LCM of 65,182,817 is 743470.
GCF of Denominators means GCF of 911,28,202 as per the given fractions.
GCF of 911,28,202 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,182,817
13 | 65, 182, 817 |
5, 14, 817 |
∴ So the LCM of the given numbers is 13 x 5 x 14 x 817 = 743470
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 65,182,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,182,817) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(65,182,817) x common factors =1 x 13 = 13
LCM(65,182,817) = ( 65 × 182 × 817 ) / 13
LCM(65,182,817) = 9665110 / 13
LCM(65,182,817) = 743470
Lets's calculate GCF of 911,28,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 743470/1
Therefore the LCM of Fractions 65/911,182/28,817/202 is 743470
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Greatest Common Factor
We found the factors 911,28,202 . The biggest common factor number is the GCF number.
So the greatest common factor 911,28,202 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 65/911, 182/28, 817/202?
Answer: LCM of Numerators as per given numbers 65/911, 182/28, 817/202 is
LCM of Numerators i.e. for 65,182,817 is 743470
GCF of denominators i.e. for 911,28,202 is 1.
Thus, LCM of Fractions is 743470.Finally, LCM of Fractions for 65/911, 182/28, 817/202 is 743470.