Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 513/85, 129/67, 392/792 quickly i.e. 8647128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 513/85, 129/67, 392/792 is 8647128.
LCM(513/85, 129/67, 392/792) = 8647128
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 513/85,129/67,392/792
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 513,129,392
Least Common Multiple of Numerators i.e. LCM of 513,129,392 is 8647128.
GCF of Denominators means GCF of 85,67,792 as per the given fractions.
GCF of 85,67,792 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 513,129,392
3 | 513, 129, 392 |
171, 43, 392 |
∴ So the LCM of the given numbers is 3 x 171 x 43 x 392 = 8647128
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 513,129,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,129,392) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(513,129,392) x common factors =1 x 3 = 3
LCM(513,129,392) = ( 513 × 129 × 392 ) / 3
LCM(513,129,392) = 25941384 / 3
LCM(513,129,392) = 8647128
Lets's calculate GCF of 85,67,792
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8647128/1
Therefore the LCM of Fractions 513/85,129/67,392/792 is 8647128
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 85,67,792 . The biggest common factor number is the GCF number.
So the greatest common factor 85,67,792 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 513/85, 129/67, 392/792?
Answer: LCM of Numerators as per given numbers 513/85, 129/67, 392/792 is
LCM of Numerators i.e. for 513,129,392 is 8647128
GCF of denominators i.e. for 85,67,792 is 1.
Thus, LCM of Fractions is 8647128.Finally, LCM of Fractions for 513/85, 129/67, 392/792 is 8647128.