Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 214/161, 1230/785 quickly i.e. 131610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 214/161, 1230/785 is 131610.
LCM(214/161, 1230/785) = 131610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 214/161,1230/785
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 214,1230
Least Common Multiple of Numerators i.e. LCM of 214,1230 is 131610.
GCF of Denominators means GCF of 161,785 as per the given fractions.
GCF of 161,785 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 214,1230
2 | 214, 1230 |
107, 615 |
∴ So the LCM of the given numbers is 2 x 107 x 615 = 131610
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 214,1230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,1230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,1230) x common factors =2 x 1 = 2
LCM(214,1230) = ( 214 × 1230 ) / 2
LCM(214,1230) = 263220 / 2
LCM(214,1230) = 131610
Lets's calculate GCF of 161,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131610/1
Therefore the LCM of Fractions 214/161,1230/785 is 131610
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 161,785 . The biggest common factor number is the GCF number.
So the greatest common factor 161,785 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 214/161, 1230/785?
Answer: LCM of Numerators as per given numbers 214/161, 1230/785 is
LCM of Numerators i.e. for 214,1230 is 131610
GCF of denominators i.e. for 161,785 is 1.
Thus, LCM of Fractions is 131610.Finally, LCM of Fractions for 214/161, 1230/785 is 131610.