Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/572, 207/186, 324/978 quickly i.e. 152766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/572, 207/186, 324/978 is 152766.
LCM(41/572, 207/186, 324/978) = 152766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/572,207/186,324/978
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 41,207,324
Least Common Multiple of Numerators i.e. LCM of 41,207,324 is 305532.
GCF of Denominators means GCF of 572,186,978 as per the given fractions.
GCF of 572,186,978 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,207,324
3 | 41, 207, 324 |
3 | 41, 69, 108 |
41, 23, 36 |
∴ So the LCM of the given numbers is 3 x 3 x 41 x 23 x 36 = 305532
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 41,207,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,207,324) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(41,207,324) x common factors =1 x 9 = 9
LCM(41,207,324) = ( 41 × 207 × 324 ) / 9
LCM(41,207,324) = 2749788 / 9
LCM(41,207,324) = 305532
Lets's calculate GCF of 572,186,978
2 | 572, 186, 978 |
286, 93, 489 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305532/2
Therefore the LCM of Fractions 41/572,207/186,324/978 is 152766
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 572,186,978 . The biggest common factor number is the GCF number.
So the greatest common factor 572,186,978 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 41/572, 207/186, 324/978?
Answer: LCM of Numerators as per given numbers 41/572, 207/186, 324/978 is
LCM of Numerators i.e. for 41,207,324 is 305532
GCF of denominators i.e. for 572,186,978 is 2.
Thus, LCM of Fractions is 152766.Finally, LCM of Fractions for 41/572, 207/186, 324/978 is 152766.