Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/66, 60/853, 712/748 quickly i.e. 138840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/66, 60/853, 712/748 is 138840.
LCM(13/66, 60/853, 712/748) = 138840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/66,60/853,712/748
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 13,60,712
Least Common Multiple of Numerators i.e. LCM of 13,60,712 is 138840.
GCF of Denominators means GCF of 66,853,748 as per the given fractions.
GCF of 66,853,748 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,60,712
2 | 13, 60, 712 |
2 | 13, 30, 356 |
13, 15, 178 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 15 x 178 = 138840
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 13,60,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,60,712) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(13,60,712) x common factors =1 x 4 = 4
LCM(13,60,712) = ( 13 × 60 × 712 ) / 4
LCM(13,60,712) = 555360 / 4
LCM(13,60,712) = 138840
Lets's calculate GCF of 66,853,748
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138840/1
Therefore the LCM of Fractions 13/66,60/853,712/748 is 138840
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 66,853,748 . The biggest common factor number is the GCF number.
So the greatest common factor 66,853,748 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 13/66, 60/853, 712/748?
Answer: LCM of Numerators as per given numbers 13/66, 60/853, 712/748 is
LCM of Numerators i.e. for 13,60,712 is 138840
GCF of denominators i.e. for 66,853,748 is 1.
Thus, LCM of Fractions is 138840.Finally, LCM of Fractions for 13/66, 60/853, 712/748 is 138840.