Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/511, 1045/5544 quickly i.e. 30305/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/511, 1045/5544 is 30305/7.
LCM(29/511, 1045/5544) = 30305/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/511,1045/5544
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 29,1045
Least Common Multiple of Numerators i.e. LCM of 29,1045 is 30305.
GCF of Denominators means GCF of 511,5544 as per the given fractions.
GCF of 511,5544 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,1045
Given numbers has no common factors except 1. So, there LCM is their product i.e 30305
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 29,1045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,1045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,1045) x common factors =1 x 1 = 1
LCM(29,1045) = ( 29 × 1045 ) / 1
LCM(29,1045) = 30305 / 1
LCM(29,1045) = 30305
Lets's calculate GCF of 511,5544
7 | 511, 5544 |
73, 792 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30305/7
Therefore the LCM of Fractions 29/511,1045/5544 is 30305/7
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 5544
List of positive integer factors of 5544 that divides 5544 without a remainder.
1,2,3,4,6,7,8,9,11,12,14,18,21,22,24,28,33,36,42,44,56,63,66,72,77,84,88,99,126,132,154,168,198,231,252,264,308,396,462,504,616,693,792,924,1386,1848,2772,5544
Greatest Common Factor
We found the factors 511,5544 . The biggest common factor number is the GCF number.
So the greatest common factor 511,5544 is 7.
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 29/511, 1045/5544?
Answer: LCM of Numerators as per given numbers 29/511, 1045/5544 is
LCM of Numerators i.e. for 29,1045 is 30305
GCF of denominators i.e. for 511,5544 is 7.
Thus, LCM of Fractions is 30305/7.Finally, LCM of Fractions for 29/511, 1045/5544 is 30305/7.