Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/290, 59/211, 359/111 quickly i.e. 974326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/290, 59/211, 359/111 is 974326.
LCM(46/290, 59/211, 359/111) = 974326
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/290,59/211,359/111
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 46,59,359
Least Common Multiple of Numerators i.e. LCM of 46,59,359 is 974326.
GCF of Denominators means GCF of 290,211,111 as per the given fractions.
GCF of 290,211,111 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,59,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 974326
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 46,59,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,59,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,59,359) x common factors =1 x 1 = 1
LCM(46,59,359) = ( 46 × 59 × 359 ) / 1
LCM(46,59,359) = 974326 / 1
LCM(46,59,359) = 974326
Lets's calculate GCF of 290,211,111
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 974326/1
Therefore the LCM of Fractions 46/290,59/211,359/111 is 974326
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 290,211,111 . The biggest common factor number is the GCF number.
So the greatest common factor 290,211,111 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 46/290, 59/211, 359/111?
Answer: LCM of Numerators as per given numbers 46/290, 59/211, 359/111 is
LCM of Numerators i.e. for 46,59,359 is 974326
GCF of denominators i.e. for 290,211,111 is 1.
Thus, LCM of Fractions is 974326.Finally, LCM of Fractions for 46/290, 59/211, 359/111 is 974326.