Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/46, 8/45, 75/37, 37/629 quickly i.e. 22200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/46, 8/45, 75/37, 37/629 is 22200.
LCM(6/46, 8/45, 75/37, 37/629) = 22200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/46,8/45,75/37,37/629
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 6,8,75,37
Least Common Multiple of Numerators i.e. LCM of 6,8,75,37 is 22200.
GCF of Denominators means GCF of 46,45,37,629 as per the given fractions.
GCF of 46,45,37,629 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,8,75,37
2 | 6, 8, 75, 37 |
3 | 3, 4, 75, 37 |
1, 4, 25, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 4 x 25 x 37 = 22200
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 6,8,75,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,8,75,37) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(6,8,75,37) x common factors =1 x 6 = 6
LCM(6,8,75,37) = ( 6 × 8 × 75 × 37 ) / 6
LCM(6,8,75,37) = 133200 / 6
LCM(6,8,75,37) = 22200
Lets's calculate GCF of 46,45,37,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22200/1
Therefore the LCM of Fractions 6/46,8/45,75/37,37/629 is 22200
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 46,45,37,629 . The biggest common factor number is the GCF number.
So the greatest common factor 46,45,37,629 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 6/46, 8/45, 75/37, 37/629?
Answer: LCM of Numerators as per given numbers 6/46, 8/45, 75/37, 37/629 is
LCM of Numerators i.e. for 6,8,75,37 is 22200
GCF of denominators i.e. for 46,45,37,629 is 1.
Thus, LCM of Fractions is 22200.Finally, LCM of Fractions for 6/46, 8/45, 75/37, 37/629 is 22200.