Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/62, 19/48, 81/18, 66/310 quickly i.e. 84645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/62, 19/48, 81/18, 66/310 is 84645.
LCM(30/62, 19/48, 81/18, 66/310) = 84645
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/62,19/48,81/18,66/310
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 30,19,81,66
Least Common Multiple of Numerators i.e. LCM of 30,19,81,66 is 169290.
GCF of Denominators means GCF of 62,48,18,310 as per the given fractions.
GCF of 62,48,18,310 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,19,81,66
2 | 30, 19, 81, 66 |
3 | 15, 19, 81, 33 |
5, 19, 27, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 27 x 11 = 169290
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 30,19,81,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,19,81,66) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(30,19,81,66) x common factors =1 x 18 = 18
LCM(30,19,81,66) = ( 30 × 19 × 81 × 66 ) / 18
LCM(30,19,81,66) = 3047220 / 18
LCM(30,19,81,66) = 169290
Lets's calculate GCF of 62,48,18,310
2 | 62, 48, 18, 310 |
31, 24, 9, 155 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169290/2
Therefore the LCM of Fractions 30/62,19/48,81/18,66/310 is 84645
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
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 62,48,18,310 . The biggest common factor number is the GCF number.
So the greatest common factor 62,48,18,310 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 30/62, 19/48, 81/18, 66/310?
Answer: LCM of Numerators as per given numbers 30/62, 19/48, 81/18, 66/310 is
LCM of Numerators i.e. for 30,19,81,66 is 169290
GCF of denominators i.e. for 62,48,18,310 is 2.
Thus, LCM of Fractions is 84645.Finally, LCM of Fractions for 30/62, 19/48, 81/18, 66/310 is 84645.