Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/534, 9766/2039 quickly i.e. 292980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/534, 9766/2039 is 292980.
LCM(60/534, 9766/2039) = 292980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/534,9766/2039
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 60,9766
Least Common Multiple of Numerators i.e. LCM of 60,9766 is 292980.
GCF of Denominators means GCF of 534,2039 as per the given fractions.
GCF of 534,2039 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,9766
2 | 60, 9766 |
30, 4883 |
∴ So the LCM of the given numbers is 2 x 30 x 4883 = 292980
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 60,9766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,9766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(60,9766) x common factors =2 x 1 = 2
LCM(60,9766) = ( 60 × 9766 ) / 2
LCM(60,9766) = 585960 / 2
LCM(60,9766) = 292980
Lets's calculate GCF of 534,2039
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292980/1
Therefore the LCM of Fractions 60/534,9766/2039 is 292980
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 2039
List of positive integer factors of 2039 that divides 2039 without a remainder.
1,2039
Greatest Common Factor
We found the factors 534,2039 . The biggest common factor number is the GCF number.
So the greatest common factor 534,2039 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 60/534, 9766/2039?
Answer: LCM of Numerators as per given numbers 60/534, 9766/2039 is
LCM of Numerators i.e. for 60,9766 is 292980
GCF of denominators i.e. for 534,2039 is 1.
Thus, LCM of Fractions is 292980.Finally, LCM of Fractions for 60/534, 9766/2039 is 292980.