Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 331/156, 565/212, 891/821 quickly i.e. 166630365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 331/156, 565/212, 891/821 is 166630365.
LCM(331/156, 565/212, 891/821) = 166630365
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 331/156,565/212,891/821
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 331,565,891
Least Common Multiple of Numerators i.e. LCM of 331,565,891 is 166630365.
GCF of Denominators means GCF of 156,212,821 as per the given fractions.
GCF of 156,212,821 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 331,565,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 166630365
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 331,565,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,565,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,565,891) x common factors =1 x 1 = 1
LCM(331,565,891) = ( 331 × 565 × 891 ) / 1
LCM(331,565,891) = 166630365 / 1
LCM(331,565,891) = 166630365
Lets's calculate GCF of 156,212,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166630365/1
Therefore the LCM of Fractions 331/156,565/212,891/821 is 166630365
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Greatest Common Factor
We found the factors 156,212,821 . The biggest common factor number is the GCF number.
So the greatest common factor 156,212,821 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 331/156, 565/212, 891/821?
Answer: LCM of Numerators as per given numbers 331/156, 565/212, 891/821 is
LCM of Numerators i.e. for 331,565,891 is 166630365
GCF of denominators i.e. for 156,212,821 is 1.
Thus, LCM of Fractions is 166630365.Finally, LCM of Fractions for 331/156, 565/212, 891/821 is 166630365.