Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 680/34, 159/4312 quickly i.e. 54060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 680/34, 159/4312 is 54060.
LCM(680/34, 159/4312) = 54060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 680/34,159/4312
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 680,159
Least Common Multiple of Numerators i.e. LCM of 680,159 is 108120.
GCF of Denominators means GCF of 34,4312 as per the given fractions.
GCF of 34,4312 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 680,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 108120
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 680,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(680,159) x common factors =1 x 1 = 1
LCM(680,159) = ( 680 × 159 ) / 1
LCM(680,159) = 108120 / 1
LCM(680,159) = 108120
Lets's calculate GCF of 34,4312
2 | 34, 4312 |
17, 2156 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108120/2
Therefore the LCM of Fractions 680/34,159/4312 is 54060
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 4312
List of positive integer factors of 4312 that divides 4312 without a remainder.
1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312
Greatest Common Factor
We found the factors 34,4312 . The biggest common factor number is the GCF number.
So the greatest common factor 34,4312 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 680/34, 159/4312?
Answer: LCM of Numerators as per given numbers 680/34, 159/4312 is
LCM of Numerators i.e. for 680,159 is 108120
GCF of denominators i.e. for 34,4312 is 2.
Thus, LCM of Fractions is 54060.Finally, LCM of Fractions for 680/34, 159/4312 is 54060.