Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 379/171, 8598/336 quickly i.e. 1086214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 379/171, 8598/336 is 1086214.
LCM(379/171, 8598/336) = 1086214
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 379/171,8598/336
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 379,8598
Least Common Multiple of Numerators i.e. LCM of 379,8598 is 3258642.
GCF of Denominators means GCF of 171,336 as per the given fractions.
GCF of 171,336 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 379,8598
Given numbers has no common factors except 1. So, there LCM is their product i.e 3258642
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 379,8598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,8598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,8598) x common factors =1 x 1 = 1
LCM(379,8598) = ( 379 × 8598 ) / 1
LCM(379,8598) = 3258642 / 1
LCM(379,8598) = 3258642
Lets's calculate GCF of 171,336
3 | 171, 336 |
57, 112 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3258642/3
Therefore the LCM of Fractions 379/171,8598/336 is 1086214
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 171,336 . The biggest common factor number is the GCF number.
So the greatest common factor 171,336 is 3.
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 379/171, 8598/336?
Answer: LCM of Numerators as per given numbers 379/171, 8598/336 is
LCM of Numerators i.e. for 379,8598 is 3258642
GCF of denominators i.e. for 171,336 is 3.
Thus, LCM of Fractions is 1086214.Finally, LCM of Fractions for 379/171, 8598/336 is 1086214.