Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 845/372, 3852/4286 quickly i.e. 1627470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 845/372, 3852/4286 is 1627470.
LCM(845/372, 3852/4286) = 1627470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 845/372,3852/4286
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 845,3852
Least Common Multiple of Numerators i.e. LCM of 845,3852 is 3254940.
GCF of Denominators means GCF of 372,4286 as per the given fractions.
GCF of 372,4286 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 845,3852
Given numbers has no common factors except 1. So, there LCM is their product i.e 3254940
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 845,3852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,3852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,3852) x common factors =1 x 1 = 1
LCM(845,3852) = ( 845 × 3852 ) / 1
LCM(845,3852) = 3254940 / 1
LCM(845,3852) = 3254940
Lets's calculate GCF of 372,4286
2 | 372, 4286 |
186, 2143 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3254940/2
Therefore the LCM of Fractions 845/372,3852/4286 is 1627470
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 4286
List of positive integer factors of 4286 that divides 4286 without a remainder.
1,2,2143,4286
Greatest Common Factor
We found the factors 372,4286 . The biggest common factor number is the GCF number.
So the greatest common factor 372,4286 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 845/372, 3852/4286?
Answer: LCM of Numerators as per given numbers 845/372, 3852/4286 is
LCM of Numerators i.e. for 845,3852 is 3254940
GCF of denominators i.e. for 372,4286 is 2.
Thus, LCM of Fractions is 1627470.Finally, LCM of Fractions for 845/372, 3852/4286 is 1627470.