Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/16, 586/68, 258/123 quickly i.e. 1587474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/16, 586/68, 258/123 is 1587474.
LCM(63/16, 586/68, 258/123) = 1587474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/16,586/68,258/123
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 63,586,258
Least Common Multiple of Numerators i.e. LCM of 63,586,258 is 1587474.
GCF of Denominators means GCF of 16,68,123 as per the given fractions.
GCF of 16,68,123 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,586,258
2 | 63, 586, 258 |
3 | 63, 293, 129 |
21, 293, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 21 x 293 x 43 = 1587474
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 63,586,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,586,258) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(63,586,258) x common factors =1 x 6 = 6
LCM(63,586,258) = ( 63 × 586 × 258 ) / 6
LCM(63,586,258) = 9524844 / 6
LCM(63,586,258) = 1587474
Lets's calculate GCF of 16,68,123
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1587474/1
Therefore the LCM of Fractions 63/16,586/68,258/123 is 1587474
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 16,68,123 . The biggest common factor number is the GCF number.
So the greatest common factor 16,68,123 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 63/16, 586/68, 258/123?
Answer: LCM of Numerators as per given numbers 63/16, 586/68, 258/123 is
LCM of Numerators i.e. for 63,586,258 is 1587474
GCF of denominators i.e. for 16,68,123 is 1.
Thus, LCM of Fractions is 1587474.Finally, LCM of Fractions for 63/16, 586/68, 258/123 is 1587474.