Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/154, 625/779, 566/517 quickly i.e. 4598750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/154, 625/779, 566/517 is 4598750.
LCM(65/154, 625/779, 566/517) = 4598750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/154,625/779,566/517
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 65,625,566
Least Common Multiple of Numerators i.e. LCM of 65,625,566 is 4598750.
GCF of Denominators means GCF of 154,779,517 as per the given fractions.
GCF of 154,779,517 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,625,566
5 | 65, 625, 566 |
13, 125, 566 |
∴ So the LCM of the given numbers is 5 x 13 x 125 x 566 = 4598750
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 65,625,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,625,566) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,625,566) x common factors =1 x 5 = 5
LCM(65,625,566) = ( 65 × 625 × 566 ) / 5
LCM(65,625,566) = 22993750 / 5
LCM(65,625,566) = 4598750
Lets's calculate GCF of 154,779,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4598750/1
Therefore the LCM of Fractions 65/154,625/779,566/517 is 4598750
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 154,779,517 . The biggest common factor number is the GCF number.
So the greatest common factor 154,779,517 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 65/154, 625/779, 566/517?
Answer: LCM of Numerators as per given numbers 65/154, 625/779, 566/517 is
LCM of Numerators i.e. for 65,625,566 is 4598750
GCF of denominators i.e. for 154,779,517 is 1.
Thus, LCM of Fractions is 4598750.Finally, LCM of Fractions for 65/154, 625/779, 566/517 is 4598750.