Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 510/10, 214/56, 786/34 quickly i.e. 3574335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 510/10, 214/56, 786/34 is 3574335.
LCM(510/10, 214/56, 786/34) = 3574335
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 510/10,214/56,786/34
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 510,214,786
Least Common Multiple of Numerators i.e. LCM of 510,214,786 is 7148670.
GCF of Denominators means GCF of 10,56,34 as per the given fractions.
GCF of 10,56,34 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 510,214,786
2 | 510, 214, 786 |
3 | 255, 107, 393 |
85, 107, 131 |
∴ So the LCM of the given numbers is 2 x 3 x 85 x 107 x 131 = 7148670
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 510,214,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,214,786) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(510,214,786) x common factors =2 x 6 = 12
LCM(510,214,786) = ( 510 × 214 × 786 ) / 12
LCM(510,214,786) = 85784040 / 12
LCM(510,214,786) = 7148670
Lets's calculate GCF of 10,56,34
2 | 10, 56, 34 |
5, 28, 17 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7148670/2
Therefore the LCM of Fractions 510/10,214/56,786/34 is 3574335
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Greatest Common Factor
We found the factors 10,56,34 . The biggest common factor number is the GCF number.
So the greatest common factor 10,56,34 is 2.
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 510/10, 214/56, 786/34?
Answer: LCM of Numerators as per given numbers 510/10, 214/56, 786/34 is
LCM of Numerators i.e. for 510,214,786 is 7148670
GCF of denominators i.e. for 10,56,34 is 2.
Thus, LCM of Fractions is 3574335.Finally, LCM of Fractions for 510/10, 214/56, 786/34 is 3574335.