Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 143/61, 663/50, 595/685 quickly i.e. 255255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 143/61, 663/50, 595/685 is 255255.
LCM(143/61, 663/50, 595/685) = 255255
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 143/61,663/50,595/685
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 143,663,595
Least Common Multiple of Numerators i.e. LCM of 143,663,595 is 255255.
GCF of Denominators means GCF of 61,50,685 as per the given fractions.
GCF of 61,50,685 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 143,663,595
13 | 143, 663, 595 |
17 | 11, 51, 595 |
11, 3, 35 |
∴ So the LCM of the given numbers is 13 x 17 x 11 x 3 x 35 = 255255
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 143,663,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,663,595) = 1
common factors(in case of two or more numbers have common factors) = 221
GCF(143,663,595) x common factors =1 x 221 = 221
LCM(143,663,595) = ( 143 × 663 × 595 ) / 221
LCM(143,663,595) = 56411355 / 221
LCM(143,663,595) = 255255
Lets's calculate GCF of 61,50,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255255/1
Therefore the LCM of Fractions 143/61,663/50,595/685 is 255255
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 61,50,685 . The biggest common factor number is the GCF number.
So the greatest common factor 61,50,685 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 143/61, 663/50, 595/685?
Answer: LCM of Numerators as per given numbers 143/61, 663/50, 595/685 is
LCM of Numerators i.e. for 143,663,595 is 255255
GCF of denominators i.e. for 61,50,685 is 1.
Thus, LCM of Fractions is 255255.Finally, LCM of Fractions for 143/61, 663/50, 595/685 is 255255.