Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 526/413, 1538/102 quickly i.e. 404494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 526/413, 1538/102 is 404494.
LCM(526/413, 1538/102) = 404494
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 526/413,1538/102
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 526,1538
Least Common Multiple of Numerators i.e. LCM of 526,1538 is 404494.
GCF of Denominators means GCF of 413,102 as per the given fractions.
GCF of 413,102 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 526,1538
2 | 526, 1538 |
263, 769 |
∴ So the LCM of the given numbers is 2 x 263 x 769 = 404494
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 526,1538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,1538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,1538) x common factors =2 x 1 = 2
LCM(526,1538) = ( 526 × 1538 ) / 2
LCM(526,1538) = 808988 / 2
LCM(526,1538) = 404494
Lets's calculate GCF of 413,102
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404494/1
Therefore the LCM of Fractions 526/413,1538/102 is 404494
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 413,102 . The biggest common factor number is the GCF number.
So the greatest common factor 413,102 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 526/413, 1538/102?
Answer: LCM of Numerators as per given numbers 526/413, 1538/102 is
LCM of Numerators i.e. for 526,1538 is 404494
GCF of denominators i.e. for 413,102 is 1.
Thus, LCM of Fractions is 404494.Finally, LCM of Fractions for 526/413, 1538/102 is 404494.