Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/12, 828/34, 660/487 quickly i.e. 3051180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/12, 828/34, 660/487 is 3051180.
LCM(67/12, 828/34, 660/487) = 3051180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/12,828/34,660/487
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 67,828,660
Least Common Multiple of Numerators i.e. LCM of 67,828,660 is 3051180.
GCF of Denominators means GCF of 12,34,487 as per the given fractions.
GCF of 12,34,487 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,828,660
2 | 67, 828, 660 |
2 | 67, 414, 330 |
3 | 67, 207, 165 |
67, 69, 55 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 67 x 69 x 55 = 3051180
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 67,828,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,828,660) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(67,828,660) x common factors =1 x 12 = 12
LCM(67,828,660) = ( 67 × 828 × 660 ) / 12
LCM(67,828,660) = 36614160 / 12
LCM(67,828,660) = 3051180
Lets's calculate GCF of 12,34,487
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3051180/1
Therefore the LCM of Fractions 67/12,828/34,660/487 is 3051180
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Greatest Common Factor
We found the factors 12,34,487 . The biggest common factor number is the GCF number.
So the greatest common factor 12,34,487 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 67/12, 828/34, 660/487?
Answer: LCM of Numerators as per given numbers 67/12, 828/34, 660/487 is
LCM of Numerators i.e. for 67,828,660 is 3051180
GCF of denominators i.e. for 12,34,487 is 1.
Thus, LCM of Fractions is 3051180.Finally, LCM of Fractions for 67/12, 828/34, 660/487 is 3051180.