Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/66, 15/35, 520/95 quickly i.e. 1560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/66, 15/35, 520/95 is 1560.
LCM(52/66, 15/35, 520/95) = 1560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/66,15/35,520/95
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 52,15,520
Least Common Multiple of Numerators i.e. LCM of 52,15,520 is 1560.
GCF of Denominators means GCF of 66,35,95 as per the given fractions.
GCF of 66,35,95 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,15,520
2 | 52, 15, 520 |
2 | 26, 15, 260 |
5 | 13, 15, 130 |
13 | 13, 3, 26 |
1, 3, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 1 x 3 x 2 = 1560
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 52,15,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,15,520) = 1
common factors(in case of two or more numbers have common factors) = 260
GCF(52,15,520) x common factors =1 x 260 = 260
LCM(52,15,520) = ( 52 × 15 × 520 ) / 260
LCM(52,15,520) = 405600 / 260
LCM(52,15,520) = 1560
Lets's calculate GCF of 66,35,95
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1560/1
Therefore the LCM of Fractions 52/66,15/35,520/95 is 1560
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Greatest Common Factor
We found the factors 66,35,95 . The biggest common factor number is the GCF number.
So the greatest common factor 66,35,95 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 52/66, 15/35, 520/95?
Answer: LCM of Numerators as per given numbers 52/66, 15/35, 520/95 is
LCM of Numerators i.e. for 52,15,520 is 1560
GCF of denominators i.e. for 66,35,95 is 1.
Thus, LCM of Fractions is 1560.Finally, LCM of Fractions for 52/66, 15/35, 520/95 is 1560.