Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/81, 875/78, 575/363 quickly i.e. 40250/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/81, 875/78, 575/363 is 40250/3.
LCM(46/81, 875/78, 575/363) = 40250/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/81,875/78,575/363
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 46,875,575
Least Common Multiple of Numerators i.e. LCM of 46,875,575 is 40250.
GCF of Denominators means GCF of 81,78,363 as per the given fractions.
GCF of 81,78,363 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,875,575
5 | 46, 875, 575 |
5 | 46, 175, 115 |
23 | 46, 35, 23 |
2, 35, 1 |
∴ So the LCM of the given numbers is 5 x 5 x 23 x 2 x 35 x 1 = 40250
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 46,875,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,875,575) = 1
common factors(in case of two or more numbers have common factors) = 575
GCF(46,875,575) x common factors =1 x 575 = 575
LCM(46,875,575) = ( 46 × 875 × 575 ) / 575
LCM(46,875,575) = 23143750 / 575
LCM(46,875,575) = 40250
Lets's calculate GCF of 81,78,363
3 | 81, 78, 363 |
27, 26, 121 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40250/3
Therefore the LCM of Fractions 46/81,875/78,575/363 is 40250/3
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Greatest Common Factor
We found the factors 81,78,363 . The biggest common factor number is the GCF number.
So the greatest common factor 81,78,363 is 3.
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 46/81, 875/78, 575/363?
Answer: LCM of Numerators as per given numbers 46/81, 875/78, 575/363 is
LCM of Numerators i.e. for 46,875,575 is 40250
GCF of denominators i.e. for 81,78,363 is 3.
Thus, LCM of Fractions is 40250/3.Finally, LCM of Fractions for 46/81, 875/78, 575/363 is 40250/3.