Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/308, 3673/8674 quickly i.e. 154266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/308, 3673/8674 is 154266.
LCM(84/308, 3673/8674) = 154266
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/308,3673/8674
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 84,3673
Least Common Multiple of Numerators i.e. LCM of 84,3673 is 308532.
GCF of Denominators means GCF of 308,8674 as per the given fractions.
GCF of 308,8674 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,3673
Given numbers has no common factors except 1. So, there LCM is their product i.e 308532
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 84,3673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,3673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,3673) x common factors =1 x 1 = 1
LCM(84,3673) = ( 84 × 3673 ) / 1
LCM(84,3673) = 308532 / 1
LCM(84,3673) = 308532
Lets's calculate GCF of 308,8674
2 | 308, 8674 |
154, 4337 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308532/2
Therefore the LCM of Fractions 84/308,3673/8674 is 154266
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 8674
List of positive integer factors of 8674 that divides 8674 without a remainder.
1,2,4337,8674
Greatest Common Factor
We found the factors 308,8674 . The biggest common factor number is the GCF number.
So the greatest common factor 308,8674 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 84/308, 3673/8674?
Answer: LCM of Numerators as per given numbers 84/308, 3673/8674 is
LCM of Numerators i.e. for 84,3673 is 308532
GCF of denominators i.e. for 308,8674 is 2.
Thus, LCM of Fractions is 154266.Finally, LCM of Fractions for 84/308, 3673/8674 is 154266.