Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 102/527, 425/335, 413/624 quickly i.e. 1053150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 102/527, 425/335, 413/624 is 1053150.
LCM(102/527, 425/335, 413/624) = 1053150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 102/527,425/335,413/624
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 102,425,413
Least Common Multiple of Numerators i.e. LCM of 102,425,413 is 1053150.
GCF of Denominators means GCF of 527,335,624 as per the given fractions.
GCF of 527,335,624 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 102,425,413
17 | 102, 425, 413 |
6, 25, 413 |
∴ So the LCM of the given numbers is 17 x 6 x 25 x 413 = 1053150
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 102,425,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,425,413) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(102,425,413) x common factors =1 x 17 = 17
LCM(102,425,413) = ( 102 × 425 × 413 ) / 17
LCM(102,425,413) = 17903550 / 17
LCM(102,425,413) = 1053150
Lets's calculate GCF of 527,335,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1053150/1
Therefore the LCM of Fractions 102/527,425/335,413/624 is 1053150
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 527,335,624 . The biggest common factor number is the GCF number.
So the greatest common factor 527,335,624 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 102/527, 425/335, 413/624?
Answer: LCM of Numerators as per given numbers 102/527, 425/335, 413/624 is
LCM of Numerators i.e. for 102,425,413 is 1053150
GCF of denominators i.e. for 527,335,624 is 1.
Thus, LCM of Fractions is 1053150.Finally, LCM of Fractions for 102/527, 425/335, 413/624 is 1053150.