Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/852, 51/872, 605/310 quickly i.e. 30855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/852, 51/872, 605/310 is 30855.
LCM(66/852, 51/872, 605/310) = 30855
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/852,51/872,605/310
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 66,51,605
Least Common Multiple of Numerators i.e. LCM of 66,51,605 is 61710.
GCF of Denominators means GCF of 852,872,310 as per the given fractions.
GCF of 852,872,310 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,51,605
3 | 66, 51, 605 |
11 | 22, 17, 605 |
2, 17, 55 |
∴ So the LCM of the given numbers is 3 x 11 x 2 x 17 x 55 = 61710
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 66,51,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,51,605) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(66,51,605) x common factors =1 x 33 = 33
LCM(66,51,605) = ( 66 × 51 × 605 ) / 33
LCM(66,51,605) = 2036430 / 33
LCM(66,51,605) = 61710
Lets's calculate GCF of 852,872,310
2 | 852, 872, 310 |
426, 436, 155 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61710/2
Therefore the LCM of Fractions 66/852,51/872,605/310 is 30855
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 852,872,310 . The biggest common factor number is the GCF number.
So the greatest common factor 852,872,310 is 2.
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 66/852, 51/872, 605/310?
Answer: LCM of Numerators as per given numbers 66/852, 51/872, 605/310 is
LCM of Numerators i.e. for 66,51,605 is 61710
GCF of denominators i.e. for 852,872,310 is 2.
Thus, LCM of Fractions is 30855.Finally, LCM of Fractions for 66/852, 51/872, 605/310 is 30855.