Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 350/95, 249/8473 quickly i.e. 87150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 350/95, 249/8473 is 87150.
LCM(350/95, 249/8473) = 87150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 350/95,249/8473
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 350,249
Least Common Multiple of Numerators i.e. LCM of 350,249 is 87150.
GCF of Denominators means GCF of 95,8473 as per the given fractions.
GCF of 95,8473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 350,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 87150
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 350,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(350,249) x common factors =1 x 1 = 1
LCM(350,249) = ( 350 × 249 ) / 1
LCM(350,249) = 87150 / 1
LCM(350,249) = 87150
Lets's calculate GCF of 95,8473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87150/1
Therefore the LCM of Fractions 350/95,249/8473 is 87150
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 8473
List of positive integer factors of 8473 that divides 8473 without a remainder.
1,37,229,8473
Greatest Common Factor
We found the factors 95,8473 . The biggest common factor number is the GCF number.
So the greatest common factor 95,8473 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 350/95, 249/8473?
Answer: LCM of Numerators as per given numbers 350/95, 249/8473 is
LCM of Numerators i.e. for 350,249 is 87150
GCF of denominators i.e. for 95,8473 is 1.
Thus, LCM of Fractions is 87150.Finally, LCM of Fractions for 350/95, 249/8473 is 87150.