Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 295/90, 404/8318 quickly i.e. 59590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 295/90, 404/8318 is 59590.
LCM(295/90, 404/8318) = 59590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 295/90,404/8318
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 295,404
Least Common Multiple of Numerators i.e. LCM of 295,404 is 119180.
GCF of Denominators means GCF of 90,8318 as per the given fractions.
GCF of 90,8318 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 295,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 119180
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 295,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,404) x common factors =1 x 1 = 1
LCM(295,404) = ( 295 × 404 ) / 1
LCM(295,404) = 119180 / 1
LCM(295,404) = 119180
Lets's calculate GCF of 90,8318
2 | 90, 8318 |
45, 4159 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119180/2
Therefore the LCM of Fractions 295/90,404/8318 is 59590
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 8318
List of positive integer factors of 8318 that divides 8318 without a remainder.
1,2,4159,8318
Greatest Common Factor
We found the factors 90,8318 . The biggest common factor number is the GCF number.
So the greatest common factor 90,8318 is 2.
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 295/90, 404/8318?
Answer: LCM of Numerators as per given numbers 295/90, 404/8318 is
LCM of Numerators i.e. for 295,404 is 119180
GCF of denominators i.e. for 90,8318 is 2.
Thus, LCM of Fractions is 59590.Finally, LCM of Fractions for 295/90, 404/8318 is 59590.