Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/82, 612/23, 480/930 quickly i.e. 171360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/82, 612/23, 480/930 is 171360.
LCM(63/82, 612/23, 480/930) = 171360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/82,612/23,480/930
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 63,612,480
Least Common Multiple of Numerators i.e. LCM of 63,612,480 is 171360.
GCF of Denominators means GCF of 82,23,930 as per the given fractions.
GCF of 82,23,930 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,612,480
2 | 63, 612, 480 |
2 | 63, 306, 240 |
3 | 63, 153, 120 |
3 | 21, 51, 40 |
7, 17, 40 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 17 x 40 = 171360
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 63,612,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,612,480) = 3
common factors(in case of two or more numbers have common factors) = 36
GCF(63,612,480) x common factors =3 x 36 = 108
LCM(63,612,480) = ( 63 × 612 × 480 ) / 108
LCM(63,612,480) = 18506880 / 108
LCM(63,612,480) = 171360
Lets's calculate GCF of 82,23,930
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171360/1
Therefore the LCM of Fractions 63/82,612/23,480/930 is 171360
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 82,23,930 . The biggest common factor number is the GCF number.
So the greatest common factor 82,23,930 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 63/82, 612/23, 480/930?
Answer: LCM of Numerators as per given numbers 63/82, 612/23, 480/930 is
LCM of Numerators i.e. for 63,612,480 is 171360
GCF of denominators i.e. for 82,23,930 is 1.
Thus, LCM of Fractions is 171360.Finally, LCM of Fractions for 63/82, 612/23, 480/930 is 171360.