Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/510, 5380/3172 quickly i.e. 190990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/510, 5380/3172 is 190990.
LCM(71/510, 5380/3172) = 190990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/510,5380/3172
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 71,5380
Least Common Multiple of Numerators i.e. LCM of 71,5380 is 381980.
GCF of Denominators means GCF of 510,3172 as per the given fractions.
GCF of 510,3172 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,5380
Given numbers has no common factors except 1. So, there LCM is their product i.e 381980
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 71,5380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,5380) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,5380) x common factors =1 x 1 = 1
LCM(71,5380) = ( 71 × 5380 ) / 1
LCM(71,5380) = 381980 / 1
LCM(71,5380) = 381980
Lets's calculate GCF of 510,3172
2 | 510, 3172 |
255, 1586 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381980/2
Therefore the LCM of Fractions 71/510,5380/3172 is 190990
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 3172
List of positive integer factors of 3172 that divides 3172 without a remainder.
1,2,4,13,26,52,61,122,244,793,1586,3172
Greatest Common Factor
We found the factors 510,3172 . The biggest common factor number is the GCF number.
So the greatest common factor 510,3172 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 71/510, 5380/3172?
Answer: LCM of Numerators as per given numbers 71/510, 5380/3172 is
LCM of Numerators i.e. for 71,5380 is 381980
GCF of denominators i.e. for 510,3172 is 2.
Thus, LCM of Fractions is 190990.Finally, LCM of Fractions for 71/510, 5380/3172 is 190990.