Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 131/410, 830/709, 250/247 quickly i.e. 2718250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 131/410, 830/709, 250/247 is 2718250.
LCM(131/410, 830/709, 250/247) = 2718250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 131/410,830/709,250/247
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 131,830,250
Least Common Multiple of Numerators i.e. LCM of 131,830,250 is 2718250.
GCF of Denominators means GCF of 410,709,247 as per the given fractions.
GCF of 410,709,247 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 131,830,250
2 | 131, 830, 250 |
5 | 131, 415, 125 |
131, 83, 25 |
∴ So the LCM of the given numbers is 2 x 5 x 131 x 83 x 25 = 2718250
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 131,830,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,830,250) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(131,830,250) x common factors =1 x 10 = 10
LCM(131,830,250) = ( 131 × 830 × 250 ) / 10
LCM(131,830,250) = 27182500 / 10
LCM(131,830,250) = 2718250
Lets's calculate GCF of 410,709,247
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2718250/1
Therefore the LCM of Fractions 131/410,830/709,250/247 is 2718250
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Greatest Common Factor
We found the factors 410,709,247 . The biggest common factor number is the GCF number.
So the greatest common factor 410,709,247 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 131/410, 830/709, 250/247?
Answer: LCM of Numerators as per given numbers 131/410, 830/709, 250/247 is
LCM of Numerators i.e. for 131,830,250 is 2718250
GCF of denominators i.e. for 410,709,247 is 1.
Thus, LCM of Fractions is 2718250.Finally, LCM of Fractions for 131/410, 830/709, 250/247 is 2718250.