Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/695, 80/654, 730/806 quickly i.e. 17520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/695, 80/654, 730/806 is 17520.
LCM(15/695, 80/654, 730/806) = 17520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/695,80/654,730/806
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 15,80,730
Least Common Multiple of Numerators i.e. LCM of 15,80,730 is 17520.
GCF of Denominators means GCF of 695,654,806 as per the given fractions.
GCF of 695,654,806 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,80,730
2 | 15, 80, 730 |
5 | 15, 40, 365 |
3, 8, 73 |
∴ So the LCM of the given numbers is 2 x 5 x 3 x 8 x 73 = 17520
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 15,80,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,80,730) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(15,80,730) x common factors =5 x 10 = 50
LCM(15,80,730) = ( 15 × 80 × 730 ) / 50
LCM(15,80,730) = 876000 / 50
LCM(15,80,730) = 17520
Lets's calculate GCF of 695,654,806
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17520/1
Therefore the LCM of Fractions 15/695,80/654,730/806 is 17520
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 695,654,806 . The biggest common factor number is the GCF number.
So the greatest common factor 695,654,806 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 15/695, 80/654, 730/806?
Answer: LCM of Numerators as per given numbers 15/695, 80/654, 730/806 is
LCM of Numerators i.e. for 15,80,730 is 17520
GCF of denominators i.e. for 695,654,806 is 1.
Thus, LCM of Fractions is 17520.Finally, LCM of Fractions for 15/695, 80/654, 730/806 is 17520.