Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4294/444, 8670/166 quickly i.e. 9307245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4294/444, 8670/166 is 9307245.
LCM(4294/444, 8670/166) = 9307245
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4294/444,8670/166
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 4294,8670
Least Common Multiple of Numerators i.e. LCM of 4294,8670 is 18614490.
GCF of Denominators means GCF of 444,166 as per the given fractions.
GCF of 444,166 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4294,8670
2 | 4294, 8670 |
2147, 4335 |
∴ So the LCM of the given numbers is 2 x 2147 x 4335 = 18614490
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 4294,8670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4294,8670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4294,8670) x common factors =2 x 1 = 2
LCM(4294,8670) = ( 4294 × 8670 ) / 2
LCM(4294,8670) = 37228980 / 2
LCM(4294,8670) = 18614490
Lets's calculate GCF of 444,166
2 | 444, 166 |
222, 83 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18614490/2
Therefore the LCM of Fractions 4294/444,8670/166 is 9307245
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 444,166 . The biggest common factor number is the GCF number.
So the greatest common factor 444,166 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 4294/444, 8670/166?
Answer: LCM of Numerators as per given numbers 4294/444, 8670/166 is
LCM of Numerators i.e. for 4294,8670 is 18614490
GCF of denominators i.e. for 444,166 is 2.
Thus, LCM of Fractions is 9307245.Finally, LCM of Fractions for 4294/444, 8670/166 is 9307245.