Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 295/906, 3775/704 quickly i.e. 222725/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 295/906, 3775/704 is 222725/2.
LCM(295/906, 3775/704) = 222725/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 295/906,3775/704
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 295,3775
Least Common Multiple of Numerators i.e. LCM of 295,3775 is 222725.
GCF of Denominators means GCF of 906,704 as per the given fractions.
GCF of 906,704 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 295,3775
5 | 295, 3775 |
59, 755 |
∴ So the LCM of the given numbers is 5 x 59 x 755 = 222725
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 295,3775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,3775) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,3775) x common factors =5 x 1 = 5
LCM(295,3775) = ( 295 × 3775 ) / 5
LCM(295,3775) = 1113625 / 5
LCM(295,3775) = 222725
Lets's calculate GCF of 906,704
2 | 906, 704 |
453, 352 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222725/2
Therefore the LCM of Fractions 295/906,3775/704 is 222725/2
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 906,704 . The biggest common factor number is the GCF number.
So the greatest common factor 906,704 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 295/906, 3775/704?
Answer: LCM of Numerators as per given numbers 295/906, 3775/704 is
LCM of Numerators i.e. for 295,3775 is 222725
GCF of denominators i.e. for 906,704 is 2.
Thus, LCM of Fractions is 222725/2.Finally, LCM of Fractions for 295/906, 3775/704 is 222725/2.