Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/265, 4870/4145 quickly i.e. 7792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/265, 4870/4145 is 7792.
LCM(16/265, 4870/4145) = 7792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/265,4870/4145
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 16,4870
Least Common Multiple of Numerators i.e. LCM of 16,4870 is 38960.
GCF of Denominators means GCF of 265,4145 as per the given fractions.
GCF of 265,4145 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,4870
2 | 16, 4870 |
8, 2435 |
∴ So the LCM of the given numbers is 2 x 8 x 2435 = 38960
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 16,4870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,4870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,4870) x common factors =2 x 1 = 2
LCM(16,4870) = ( 16 × 4870 ) / 2
LCM(16,4870) = 77920 / 2
LCM(16,4870) = 38960
Lets's calculate GCF of 265,4145
5 | 265, 4145 |
53, 829 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38960/5
Therefore the LCM of Fractions 16/265,4870/4145 is 7792
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 4145
List of positive integer factors of 4145 that divides 4145 without a remainder.
1,5,829,4145
Greatest Common Factor
We found the factors 265,4145 . The biggest common factor number is the GCF number.
So the greatest common factor 265,4145 is 5.
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 16/265, 4870/4145?
Answer: LCM of Numerators as per given numbers 16/265, 4870/4145 is
LCM of Numerators i.e. for 16,4870 is 38960
GCF of denominators i.e. for 265,4145 is 5.
Thus, LCM of Fractions is 7792.Finally, LCM of Fractions for 16/265, 4870/4145 is 7792.