Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/436, 38/283, 766/543 quickly i.e. 654930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/436, 38/283, 766/543 is 654930.
LCM(45/436, 38/283, 766/543) = 654930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/436,38/283,766/543
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 45,38,766
Least Common Multiple of Numerators i.e. LCM of 45,38,766 is 654930.
GCF of Denominators means GCF of 436,283,543 as per the given fractions.
GCF of 436,283,543 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,38,766
2 | 45, 38, 766 |
45, 19, 383 |
∴ So the LCM of the given numbers is 2 x 45 x 19 x 383 = 654930
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 45,38,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,38,766) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(45,38,766) x common factors =1 x 2 = 2
LCM(45,38,766) = ( 45 × 38 × 766 ) / 2
LCM(45,38,766) = 1309860 / 2
LCM(45,38,766) = 654930
Lets's calculate GCF of 436,283,543
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 654930/1
Therefore the LCM of Fractions 45/436,38/283,766/543 is 654930
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1,3,181,543
Greatest Common Factor
We found the factors 436,283,543 . The biggest common factor number is the GCF number.
So the greatest common factor 436,283,543 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 45/436, 38/283, 766/543?
Answer: LCM of Numerators as per given numbers 45/436, 38/283, 766/543 is
LCM of Numerators i.e. for 45,38,766 is 654930
GCF of denominators i.e. for 436,283,543 is 1.
Thus, LCM of Fractions is 654930.Finally, LCM of Fractions for 45/436, 38/283, 766/543 is 654930.