Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 189/54, 972/46, 747/488 quickly i.e. 282366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 189/54, 972/46, 747/488 is 282366.
LCM(189/54, 972/46, 747/488) = 282366
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 189/54,972/46,747/488
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 189,972,747
Least Common Multiple of Numerators i.e. LCM of 189,972,747 is 564732.
GCF of Denominators means GCF of 54,46,488 as per the given fractions.
GCF of 54,46,488 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 189,972,747
3 | 189, 972, 747 |
3 | 63, 324, 249 |
3 | 21, 108, 83 |
7, 36, 83 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 36 x 83 = 564732
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 189,972,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,972,747) = 9
common factors(in case of two or more numbers have common factors) = 27
GCF(189,972,747) x common factors =9 x 27 = 243
LCM(189,972,747) = ( 189 × 972 × 747 ) / 243
LCM(189,972,747) = 137229876 / 243
LCM(189,972,747) = 564732
Lets's calculate GCF of 54,46,488
2 | 54, 46, 488 |
27, 23, 244 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564732/2
Therefore the LCM of Fractions 189/54,972/46,747/488 is 282366
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 54,46,488 . The biggest common factor number is the GCF number.
So the greatest common factor 54,46,488 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 189/54, 972/46, 747/488?
Answer: LCM of Numerators as per given numbers 189/54, 972/46, 747/488 is
LCM of Numerators i.e. for 189,972,747 is 564732
GCF of denominators i.e. for 54,46,488 is 2.
Thus, LCM of Fractions is 282366.Finally, LCM of Fractions for 189/54, 972/46, 747/488 is 282366.