Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/879, 5778/8495 quickly i.e. 202230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/879, 5778/8495 is 202230.
LCM(35/879, 5778/8495) = 202230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/879,5778/8495
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 35,5778
Least Common Multiple of Numerators i.e. LCM of 35,5778 is 202230.
GCF of Denominators means GCF of 879,8495 as per the given fractions.
GCF of 879,8495 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,5778
Given numbers has no common factors except 1. So, there LCM is their product i.e 202230
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 35,5778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,5778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,5778) x common factors =1 x 1 = 1
LCM(35,5778) = ( 35 × 5778 ) / 1
LCM(35,5778) = 202230 / 1
LCM(35,5778) = 202230
Lets's calculate GCF of 879,8495
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202230/1
Therefore the LCM of Fractions 35/879,5778/8495 is 202230
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 8495
List of positive integer factors of 8495 that divides 8495 without a remainder.
1,5,1699,8495
Greatest Common Factor
We found the factors 879,8495 . The biggest common factor number is the GCF number.
So the greatest common factor 879,8495 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 35/879, 5778/8495?
Answer: LCM of Numerators as per given numbers 35/879, 5778/8495 is
LCM of Numerators i.e. for 35,5778 is 202230
GCF of denominators i.e. for 879,8495 is 1.
Thus, LCM of Fractions is 202230.Finally, LCM of Fractions for 35/879, 5778/8495 is 202230.