Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/391, 31/429, 916/218 quickly i.e. 1164236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/391, 31/429, 916/218 is 1164236.
LCM(41/391, 31/429, 916/218) = 1164236
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/391,31/429,916/218
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 41,31,916
Least Common Multiple of Numerators i.e. LCM of 41,31,916 is 1164236.
GCF of Denominators means GCF of 391,429,218 as per the given fractions.
GCF of 391,429,218 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,31,916
Given numbers has no common factors except 1. So, there LCM is their product i.e 1164236
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 41,31,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,31,916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,31,916) x common factors =1 x 1 = 1
LCM(41,31,916) = ( 41 × 31 × 916 ) / 1
LCM(41,31,916) = 1164236 / 1
LCM(41,31,916) = 1164236
Lets's calculate GCF of 391,429,218
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1164236/1
Therefore the LCM of Fractions 41/391,31/429,916/218 is 1164236
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 391,429,218 . The biggest common factor number is the GCF number.
So the greatest common factor 391,429,218 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 41/391, 31/429, 916/218?
Answer: LCM of Numerators as per given numbers 41/391, 31/429, 916/218 is
LCM of Numerators i.e. for 41,31,916 is 1164236
GCF of denominators i.e. for 391,429,218 is 1.
Thus, LCM of Fractions is 1164236.Finally, LCM of Fractions for 41/391, 31/429, 916/218 is 1164236.