Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/345, 70/131, 305/369 quickly i.e. 200690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/345, 70/131, 305/369 is 200690.
LCM(47/345, 70/131, 305/369) = 200690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/345,70/131,305/369
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 47,70,305
Least Common Multiple of Numerators i.e. LCM of 47,70,305 is 200690.
GCF of Denominators means GCF of 345,131,369 as per the given fractions.
GCF of 345,131,369 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,70,305
5 | 47, 70, 305 |
47, 14, 61 |
∴ So the LCM of the given numbers is 5 x 47 x 14 x 61 = 200690
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 47,70,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,70,305) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(47,70,305) x common factors =1 x 5 = 5
LCM(47,70,305) = ( 47 × 70 × 305 ) / 5
LCM(47,70,305) = 1003450 / 5
LCM(47,70,305) = 200690
Lets's calculate GCF of 345,131,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200690/1
Therefore the LCM of Fractions 47/345,70/131,305/369 is 200690
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 345,131,369 . The biggest common factor number is the GCF number.
So the greatest common factor 345,131,369 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 47/345, 70/131, 305/369?
Answer: LCM of Numerators as per given numbers 47/345, 70/131, 305/369 is
LCM of Numerators i.e. for 47,70,305 is 200690
GCF of denominators i.e. for 345,131,369 is 1.
Thus, LCM of Fractions is 200690.Finally, LCM of Fractions for 47/345, 70/131, 305/369 is 200690.