Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 520/908, 132/575 quickly i.e. 17160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 520/908, 132/575 is 17160.
LCM(520/908, 132/575) = 17160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 520/908,132/575
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 520,132
Least Common Multiple of Numerators i.e. LCM of 520,132 is 17160.
GCF of Denominators means GCF of 908,575 as per the given fractions.
GCF of 908,575 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 520,132
2 | 520, 132 |
2 | 260, 66 |
130, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 130 x 33 = 17160
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 520,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,132) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(520,132) x common factors =4 x 1 = 4
LCM(520,132) = ( 520 × 132 ) / 4
LCM(520,132) = 68640 / 4
LCM(520,132) = 17160
Lets's calculate GCF of 908,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17160/1
Therefore the LCM of Fractions 520/908,132/575 is 17160
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 908,575 . The biggest common factor number is the GCF number.
So the greatest common factor 908,575 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 520/908, 132/575?
Answer: LCM of Numerators as per given numbers 520/908, 132/575 is
LCM of Numerators i.e. for 520,132 is 17160
GCF of denominators i.e. for 908,575 is 1.
Thus, LCM of Fractions is 17160.Finally, LCM of Fractions for 520/908, 132/575 is 17160.