Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2173/387, 1064/129 quickly i.e. 2312072/129 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2173/387, 1064/129 is 2312072/129.
LCM(2173/387, 1064/129) = 2312072/129
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2173/387,1064/129
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 2173,1064
Least Common Multiple of Numerators i.e. LCM of 2173,1064 is 2312072.
GCF of Denominators means GCF of 387,129 as per the given fractions.
GCF of 387,129 is 129 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2173,1064
Given numbers has no common factors except 1. So, there LCM is their product i.e 2312072
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 2173,1064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2173,1064) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2173,1064) x common factors =1 x 1 = 1
LCM(2173,1064) = ( 2173 × 1064 ) / 1
LCM(2173,1064) = 2312072 / 1
LCM(2173,1064) = 2312072
Lets's calculate GCF of 387,129
3 | 387, 129 |
43 | 129, 43 |
3, 1 |
∴ So the GCF of the given numbers is 3 x 43 = 129
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2312072/129
Therefore the LCM of Fractions 2173/387,1064/129 is 2312072/129
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Greatest Common Factor
We found the factors 387,129 . The biggest common factor number is the GCF number.
So the greatest common factor 387,129 is 129.
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 2173/387, 1064/129?
Answer: LCM of Numerators as per given numbers 2173/387, 1064/129 is
LCM of Numerators i.e. for 2173,1064 is 2312072
GCF of denominators i.e. for 387,129 is 129.
Thus, LCM of Fractions is 2312072/129.Finally, LCM of Fractions for 2173/387, 1064/129 is 2312072/129.