Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/851, 27/460, 151/604 quickly i.e. 167157 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/851, 27/460, 151/604 is 167157.
LCM(41/851, 27/460, 151/604) = 167157
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/851,27/460,151/604
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 41,27,151
Least Common Multiple of Numerators i.e. LCM of 41,27,151 is 167157.
GCF of Denominators means GCF of 851,460,604 as per the given fractions.
GCF of 851,460,604 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,27,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 167157
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 41,27,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,27,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,27,151) x common factors =1 x 1 = 1
LCM(41,27,151) = ( 41 × 27 × 151 ) / 1
LCM(41,27,151) = 167157 / 1
LCM(41,27,151) = 167157
Lets's calculate GCF of 851,460,604
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167157/1
Therefore the LCM of Fractions 41/851,27/460,151/604 is 167157
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Greatest Common Factor
We found the factors 851,460,604 . The biggest common factor number is the GCF number.
So the greatest common factor 851,460,604 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 41/851, 27/460, 151/604?
Answer: LCM of Numerators as per given numbers 41/851, 27/460, 151/604 is
LCM of Numerators i.e. for 41,27,151 is 167157
GCF of denominators i.e. for 851,460,604 is 1.
Thus, LCM of Fractions is 167157.Finally, LCM of Fractions for 41/851, 27/460, 151/604 is 167157.