Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1611/514, 3094/130 quickly i.e. 2492217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1611/514, 3094/130 is 2492217.
LCM(1611/514, 3094/130) = 2492217
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1611/514,3094/130
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 1611,3094
Least Common Multiple of Numerators i.e. LCM of 1611,3094 is 4984434.
GCF of Denominators means GCF of 514,130 as per the given fractions.
GCF of 514,130 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1611,3094
Given numbers has no common factors except 1. So, there LCM is their product i.e 4984434
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 1611,3094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1611,3094) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1611,3094) x common factors =1 x 1 = 1
LCM(1611,3094) = ( 1611 × 3094 ) / 1
LCM(1611,3094) = 4984434 / 1
LCM(1611,3094) = 4984434
Lets's calculate GCF of 514,130
2 | 514, 130 |
257, 65 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4984434/2
Therefore the LCM of Fractions 1611/514,3094/130 is 2492217
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 514,130 . The biggest common factor number is the GCF number.
So the greatest common factor 514,130 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 1611/514, 3094/130?
Answer: LCM of Numerators as per given numbers 1611/514, 3094/130 is
LCM of Numerators i.e. for 1611,3094 is 4984434
GCF of denominators i.e. for 514,130 is 2.
Thus, LCM of Fractions is 2492217.Finally, LCM of Fractions for 1611/514, 3094/130 is 2492217.