Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/652, 255/471, 476/625 quickly i.e. 64260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/652, 255/471, 476/625 is 64260.
LCM(54/652, 255/471, 476/625) = 64260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/652,255/471,476/625
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 54,255,476
Least Common Multiple of Numerators i.e. LCM of 54,255,476 is 64260.
GCF of Denominators means GCF of 652,471,625 as per the given fractions.
GCF of 652,471,625 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,255,476
2 | 54, 255, 476 |
3 | 27, 255, 238 |
17 | 9, 85, 238 |
9, 5, 14 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 9 x 5 x 14 = 64260
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 54,255,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,255,476) = 1
common factors(in case of two or more numbers have common factors) = 102
GCF(54,255,476) x common factors =1 x 102 = 102
LCM(54,255,476) = ( 54 × 255 × 476 ) / 102
LCM(54,255,476) = 6554520 / 102
LCM(54,255,476) = 64260
Lets's calculate GCF of 652,471,625
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64260/1
Therefore the LCM of Fractions 54/652,255/471,476/625 is 64260
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Greatest Common Factor
We found the factors 652,471,625 . The biggest common factor number is the GCF number.
So the greatest common factor 652,471,625 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 54/652, 255/471, 476/625?
Answer: LCM of Numerators as per given numbers 54/652, 255/471, 476/625 is
LCM of Numerators i.e. for 54,255,476 is 64260
GCF of denominators i.e. for 652,471,625 is 1.
Thus, LCM of Fractions is 64260.Finally, LCM of Fractions for 54/652, 255/471, 476/625 is 64260.