Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/186, 35/676 quickly i.e. 805/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/186, 35/676 is 805/2.
LCM(23/186, 35/676) = 805/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/186,35/676
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 23,35
Least Common Multiple of Numerators i.e. LCM of 23,35 is 805.
GCF of Denominators means GCF of 186,676 as per the given fractions.
GCF of 186,676 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,35
Given numbers has no common factors except 1. So, there LCM is their product i.e 805
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 23,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,35) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,35) x common factors =1 x 1 = 1
LCM(23,35) = ( 23 × 35 ) / 1
LCM(23,35) = 805 / 1
LCM(23,35) = 805
Lets's calculate GCF of 186,676
2 | 186, 676 |
93, 338 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 805/2
Therefore the LCM of Fractions 23/186,35/676 is 805/2
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 186,676 . The biggest common factor number is the GCF number.
So the greatest common factor 186,676 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 23/186, 35/676?
Answer: LCM of Numerators as per given numbers 23/186, 35/676 is
LCM of Numerators i.e. for 23,35 is 805
GCF of denominators i.e. for 186,676 is 2.
Thus, LCM of Fractions is 805/2.Finally, LCM of Fractions for 23/186, 35/676 is 805/2.