Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/518, 906/34, 212/954 quickly i.e. 624234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/518, 906/34, 212/954 is 624234.
LCM(52/518, 906/34, 212/954) = 624234
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/518,906/34,212/954
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 52,906,212
Least Common Multiple of Numerators i.e. LCM of 52,906,212 is 1248468.
GCF of Denominators means GCF of 518,34,954 as per the given fractions.
GCF of 518,34,954 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,906,212
2 | 52, 906, 212 |
2 | 26, 453, 106 |
13, 453, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 453 x 53 = 1248468
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 52,906,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,906,212) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(52,906,212) x common factors =2 x 4 = 8
LCM(52,906,212) = ( 52 × 906 × 212 ) / 8
LCM(52,906,212) = 9987744 / 8
LCM(52,906,212) = 1248468
Lets's calculate GCF of 518,34,954
2 | 518, 34, 954 |
259, 17, 477 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1248468/2
Therefore the LCM of Fractions 52/518,906/34,212/954 is 624234
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 518,34,954 . The biggest common factor number is the GCF number.
So the greatest common factor 518,34,954 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 52/518, 906/34, 212/954?
Answer: LCM of Numerators as per given numbers 52/518, 906/34, 212/954 is
LCM of Numerators i.e. for 52,906,212 is 1248468
GCF of denominators i.e. for 518,34,954 is 2.
Thus, LCM of Fractions is 624234.Finally, LCM of Fractions for 52/518, 906/34, 212/954 is 624234.