Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 388/516, 3518/254 quickly i.e. 341246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 388/516, 3518/254 is 341246.
LCM(388/516, 3518/254) = 341246
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 388/516,3518/254
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 388,3518
Least Common Multiple of Numerators i.e. LCM of 388,3518 is 682492.
GCF of Denominators means GCF of 516,254 as per the given fractions.
GCF of 516,254 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 388,3518
2 | 388, 3518 |
194, 1759 |
∴ So the LCM of the given numbers is 2 x 194 x 1759 = 682492
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 388,3518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,3518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(388,3518) x common factors =2 x 1 = 2
LCM(388,3518) = ( 388 × 3518 ) / 2
LCM(388,3518) = 1364984 / 2
LCM(388,3518) = 682492
Lets's calculate GCF of 516,254
2 | 516, 254 |
258, 127 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 682492/2
Therefore the LCM of Fractions 388/516,3518/254 is 341246
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 516,254 . The biggest common factor number is the GCF number.
So the greatest common factor 516,254 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 388/516, 3518/254?
Answer: LCM of Numerators as per given numbers 388/516, 3518/254 is
LCM of Numerators i.e. for 388,3518 is 682492
GCF of denominators i.e. for 516,254 is 2.
Thus, LCM of Fractions is 341246.Finally, LCM of Fractions for 388/516, 3518/254 is 341246.