Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/971, 66/611, 520/183 quickly i.e. 17160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/971, 66/611, 520/183 is 17160.
LCM(65/971, 66/611, 520/183) = 17160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/971,66/611,520/183
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 65,66,520
Least Common Multiple of Numerators i.e. LCM of 65,66,520 is 17160.
GCF of Denominators means GCF of 971,611,183 as per the given fractions.
GCF of 971,611,183 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,66,520
2 | 65, 66, 520 |
5 | 65, 33, 260 |
13 | 13, 33, 52 |
1, 33, 4 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 33 x 4 = 17160
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 65,66,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,66,520) = 1
common factors(in case of two or more numbers have common factors) = 130
GCF(65,66,520) x common factors =1 x 130 = 130
LCM(65,66,520) = ( 65 × 66 × 520 ) / 130
LCM(65,66,520) = 2230800 / 130
LCM(65,66,520) = 17160
Lets's calculate GCF of 971,611,183
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17160/1
Therefore the LCM of Fractions 65/971,66/611,520/183 is 17160
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 971,611,183 . The biggest common factor number is the GCF number.
So the greatest common factor 971,611,183 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 65/971, 66/611, 520/183?
Answer: LCM of Numerators as per given numbers 65/971, 66/611, 520/183 is
LCM of Numerators i.e. for 65,66,520 is 17160
GCF of denominators i.e. for 971,611,183 is 1.
Thus, LCM of Fractions is 17160.Finally, LCM of Fractions for 65/971, 66/611, 520/183 is 17160.