Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 867/362, 4025/7857 quickly i.e. 3489675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 867/362, 4025/7857 is 3489675.
LCM(867/362, 4025/7857) = 3489675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 867/362,4025/7857
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 867,4025
Least Common Multiple of Numerators i.e. LCM of 867,4025 is 3489675.
GCF of Denominators means GCF of 362,7857 as per the given fractions.
GCF of 362,7857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 867,4025
Given numbers has no common factors except 1. So, there LCM is their product i.e 3489675
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 867,4025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,4025) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,4025) x common factors =1 x 1 = 1
LCM(867,4025) = ( 867 × 4025 ) / 1
LCM(867,4025) = 3489675 / 1
LCM(867,4025) = 3489675
Lets's calculate GCF of 362,7857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3489675/1
Therefore the LCM of Fractions 867/362,4025/7857 is 3489675
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Factors of 7857
List of positive integer factors of 7857 that divides 7857 without a remainder.
1,3,9,27,81,97,291,873,2619,7857
Greatest Common Factor
We found the factors 362,7857 . The biggest common factor number is the GCF number.
So the greatest common factor 362,7857 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 867/362, 4025/7857?
Answer: LCM of Numerators as per given numbers 867/362, 4025/7857 is
LCM of Numerators i.e. for 867,4025 is 3489675
GCF of denominators i.e. for 362,7857 is 1.
Thus, LCM of Fractions is 3489675.Finally, LCM of Fractions for 867/362, 4025/7857 is 3489675.