Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/857, 9477/7356 quickly i.e. 3487536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/857, 9477/7356 is 3487536.
LCM(368/857, 9477/7356) = 3487536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/857,9477/7356
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 368,9477
Least Common Multiple of Numerators i.e. LCM of 368,9477 is 3487536.
GCF of Denominators means GCF of 857,7356 as per the given fractions.
GCF of 857,7356 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,9477
Given numbers has no common factors except 1. So, there LCM is their product i.e 3487536
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 368,9477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,9477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,9477) x common factors =1 x 1 = 1
LCM(368,9477) = ( 368 × 9477 ) / 1
LCM(368,9477) = 3487536 / 1
LCM(368,9477) = 3487536
Lets's calculate GCF of 857,7356
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3487536/1
Therefore the LCM of Fractions 368/857,9477/7356 is 3487536
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Factors of 7356
List of positive integer factors of 7356 that divides 7356 without a remainder.
1,2,3,4,6,12,613,1226,1839,2452,3678,7356
Greatest Common Factor
We found the factors 857,7356 . The biggest common factor number is the GCF number.
So the greatest common factor 857,7356 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 368/857, 9477/7356?
Answer: LCM of Numerators as per given numbers 368/857, 9477/7356 is
LCM of Numerators i.e. for 368,9477 is 3487536
GCF of denominators i.e. for 857,7356 is 1.
Thus, LCM of Fractions is 3487536.Finally, LCM of Fractions for 368/857, 9477/7356 is 3487536.