Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1880/195, 5066/3089 quickly i.e. 4762040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1880/195, 5066/3089 is 4762040.
LCM(1880/195, 5066/3089) = 4762040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1880/195,5066/3089
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 1880,5066
Least Common Multiple of Numerators i.e. LCM of 1880,5066 is 4762040.
GCF of Denominators means GCF of 195,3089 as per the given fractions.
GCF of 195,3089 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1880,5066
2 | 1880, 5066 |
940, 2533 |
∴ So the LCM of the given numbers is 2 x 940 x 2533 = 4762040
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 1880,5066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1880,5066) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1880,5066) x common factors =2 x 1 = 2
LCM(1880,5066) = ( 1880 × 5066 ) / 2
LCM(1880,5066) = 9524080 / 2
LCM(1880,5066) = 4762040
Lets's calculate GCF of 195,3089
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4762040/1
Therefore the LCM of Fractions 1880/195,5066/3089 is 4762040
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 3089
List of positive integer factors of 3089 that divides 3089 without a remainder.
1,3089
Greatest Common Factor
We found the factors 195,3089 . The biggest common factor number is the GCF number.
So the greatest common factor 195,3089 is 1.
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 1880/195, 5066/3089?
Answer: LCM of Numerators as per given numbers 1880/195, 5066/3089 is
LCM of Numerators i.e. for 1880,5066 is 4762040
GCF of denominators i.e. for 195,3089 is 1.
Thus, LCM of Fractions is 4762040.Finally, LCM of Fractions for 1880/195, 5066/3089 is 4762040.