Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/180, 44/379 quickly i.e. 1628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/180, 44/379 is 1628.
LCM(74/180, 44/379) = 1628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/180,44/379
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 74,44
Least Common Multiple of Numerators i.e. LCM of 74,44 is 1628.
GCF of Denominators means GCF of 180,379 as per the given fractions.
GCF of 180,379 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,44
2 | 74, 44 |
37, 22 |
∴ So the LCM of the given numbers is 2 x 37 x 22 = 1628
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 74,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,44) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,44) x common factors =2 x 1 = 2
LCM(74,44) = ( 74 × 44 ) / 2
LCM(74,44) = 3256 / 2
LCM(74,44) = 1628
Lets's calculate GCF of 180,379
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1628/1
Therefore the LCM of Fractions 74/180,44/379 is 1628
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Greatest Common Factor
We found the factors 180,379 . The biggest common factor number is the GCF number.
So the greatest common factor 180,379 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 74/180, 44/379?
Answer: LCM of Numerators as per given numbers 74/180, 44/379 is
LCM of Numerators i.e. for 74,44 is 1628
GCF of denominators i.e. for 180,379 is 1.
Thus, LCM of Fractions is 1628.Finally, LCM of Fractions for 74/180, 44/379 is 1628.