Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/84, 367/38, 149/821 quickly i.e. 2515418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/84, 367/38, 149/821 is 2515418.
LCM(46/84, 367/38, 149/821) = 2515418
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/84,367/38,149/821
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 46,367,149
Least Common Multiple of Numerators i.e. LCM of 46,367,149 is 2515418.
GCF of Denominators means GCF of 84,38,821 as per the given fractions.
GCF of 84,38,821 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,367,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 2515418
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 46,367,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,367,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,367,149) x common factors =1 x 1 = 1
LCM(46,367,149) = ( 46 × 367 × 149 ) / 1
LCM(46,367,149) = 2515418 / 1
LCM(46,367,149) = 2515418
Lets's calculate GCF of 84,38,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2515418/1
Therefore the LCM of Fractions 46/84,367/38,149/821 is 2515418
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
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 84,38,821 . The biggest common factor number is the GCF number.
So the greatest common factor 84,38,821 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 46/84, 367/38, 149/821?
Answer: LCM of Numerators as per given numbers 46/84, 367/38, 149/821 is
LCM of Numerators i.e. for 46,367,149 is 2515418
GCF of denominators i.e. for 84,38,821 is 1.
Thus, LCM of Fractions is 2515418.Finally, LCM of Fractions for 46/84, 367/38, 149/821 is 2515418.