Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4685/364, 2110/111 quickly i.e. 1977070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4685/364, 2110/111 is 1977070.
LCM(4685/364, 2110/111) = 1977070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4685/364,2110/111
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 4685,2110
Least Common Multiple of Numerators i.e. LCM of 4685,2110 is 1977070.
GCF of Denominators means GCF of 364,111 as per the given fractions.
GCF of 364,111 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4685,2110
5 | 4685, 2110 |
937, 422 |
∴ So the LCM of the given numbers is 5 x 937 x 422 = 1977070
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 4685,2110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4685,2110) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(4685,2110) x common factors =5 x 1 = 5
LCM(4685,2110) = ( 4685 × 2110 ) / 5
LCM(4685,2110) = 9885350 / 5
LCM(4685,2110) = 1977070
Lets's calculate GCF of 364,111
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1977070/1
Therefore the LCM of Fractions 4685/364,2110/111 is 1977070
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 364,111 . The biggest common factor number is the GCF number.
So the greatest common factor 364,111 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 4685/364, 2110/111?
Answer: LCM of Numerators as per given numbers 4685/364, 2110/111 is
LCM of Numerators i.e. for 4685,2110 is 1977070
GCF of denominators i.e. for 364,111 is 1.
Thus, LCM of Fractions is 1977070.Finally, LCM of Fractions for 4685/364, 2110/111 is 1977070.