Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 265/476, 5010/410 quickly i.e. 132765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 265/476, 5010/410 is 132765.
LCM(265/476, 5010/410) = 132765
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 265/476,5010/410
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 265,5010
Least Common Multiple of Numerators i.e. LCM of 265,5010 is 265530.
GCF of Denominators means GCF of 476,410 as per the given fractions.
GCF of 476,410 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 265,5010
5 | 265, 5010 |
53, 1002 |
∴ So the LCM of the given numbers is 5 x 53 x 1002 = 265530
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 265,5010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,5010) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(265,5010) x common factors =5 x 1 = 5
LCM(265,5010) = ( 265 × 5010 ) / 5
LCM(265,5010) = 1327650 / 5
LCM(265,5010) = 265530
Lets's calculate GCF of 476,410
2 | 476, 410 |
238, 205 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265530/2
Therefore the LCM of Fractions 265/476,5010/410 is 132765
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 476,410 . The biggest common factor number is the GCF number.
So the greatest common factor 476,410 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 265/476, 5010/410?
Answer: LCM of Numerators as per given numbers 265/476, 5010/410 is
LCM of Numerators i.e. for 265,5010 is 265530
GCF of denominators i.e. for 476,410 is 2.
Thus, LCM of Fractions is 132765.Finally, LCM of Fractions for 265/476, 5010/410 is 132765.