Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/166, 460/396, 603/398 quickly i.e. 1525590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/166, 460/396, 603/398 is 1525590.
LCM(44/166, 460/396, 603/398) = 1525590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/166,460/396,603/398
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 44,460,603
Least Common Multiple of Numerators i.e. LCM of 44,460,603 is 3051180.
GCF of Denominators means GCF of 166,396,398 as per the given fractions.
GCF of 166,396,398 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,460,603
2 | 44, 460, 603 |
2 | 22, 230, 603 |
11, 115, 603 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 115 x 603 = 3051180
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 44,460,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,460,603) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(44,460,603) x common factors =1 x 4 = 4
LCM(44,460,603) = ( 44 × 460 × 603 ) / 4
LCM(44,460,603) = 12204720 / 4
LCM(44,460,603) = 3051180
Lets's calculate GCF of 166,396,398
2 | 166, 396, 398 |
83, 198, 199 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3051180/2
Therefore the LCM of Fractions 44/166,460/396,603/398 is 1525590
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Greatest Common Factor
We found the factors 166,396,398 . The biggest common factor number is the GCF number.
So the greatest common factor 166,396,398 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 44/166, 460/396, 603/398?
Answer: LCM of Numerators as per given numbers 44/166, 460/396, 603/398 is
LCM of Numerators i.e. for 44,460,603 is 3051180
GCF of denominators i.e. for 166,396,398 is 2.
Thus, LCM of Fractions is 1525590.Finally, LCM of Fractions for 44/166, 460/396, 603/398 is 1525590.