Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 396/42, 928/3700 quickly i.e. 45936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 396/42, 928/3700 is 45936.
LCM(396/42, 928/3700) = 45936
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 396/42,928/3700
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 396,928
Least Common Multiple of Numerators i.e. LCM of 396,928 is 91872.
GCF of Denominators means GCF of 42,3700 as per the given fractions.
GCF of 42,3700 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 396,928
2 | 396, 928 |
2 | 198, 464 |
99, 232 |
∴ So the LCM of the given numbers is 2 x 2 x 99 x 232 = 91872
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 396,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,928) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(396,928) x common factors =4 x 1 = 4
LCM(396,928) = ( 396 × 928 ) / 4
LCM(396,928) = 367488 / 4
LCM(396,928) = 91872
Lets's calculate GCF of 42,3700
2 | 42, 3700 |
21, 1850 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91872/2
Therefore the LCM of Fractions 396/42,928/3700 is 45936
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 3700
List of positive integer factors of 3700 that divides 3700 without a remainder.
1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700
Greatest Common Factor
We found the factors 42,3700 . The biggest common factor number is the GCF number.
So the greatest common factor 42,3700 is 2.
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 396/42, 928/3700?
Answer: LCM of Numerators as per given numbers 396/42, 928/3700 is
LCM of Numerators i.e. for 396,928 is 91872
GCF of denominators i.e. for 42,3700 is 2.
Thus, LCM of Fractions is 45936.Finally, LCM of Fractions for 396/42, 928/3700 is 45936.