Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 452/29, 930/20, 884/503 quickly i.e. 46449780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 452/29, 930/20, 884/503 is 46449780.
LCM(452/29, 930/20, 884/503) = 46449780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 452/29,930/20,884/503
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 452,930,884
Least Common Multiple of Numerators i.e. LCM of 452,930,884 is 46449780.
GCF of Denominators means GCF of 29,20,503 as per the given fractions.
GCF of 29,20,503 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 452,930,884
2 | 452, 930, 884 |
2 | 226, 465, 442 |
113, 465, 221 |
∴ So the LCM of the given numbers is 2 x 2 x 113 x 465 x 221 = 46449780
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 452,930,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,930,884) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(452,930,884) x common factors =2 x 4 = 8
LCM(452,930,884) = ( 452 × 930 × 884 ) / 8
LCM(452,930,884) = 371598240 / 8
LCM(452,930,884) = 46449780
Lets's calculate GCF of 29,20,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46449780/1
Therefore the LCM of Fractions 452/29,930/20,884/503 is 46449780
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Greatest Common Factor
We found the factors 29,20,503 . The biggest common factor number is the GCF number.
So the greatest common factor 29,20,503 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 452/29, 930/20, 884/503?
Answer: LCM of Numerators as per given numbers 452/29, 930/20, 884/503 is
LCM of Numerators i.e. for 452,930,884 is 46449780
GCF of denominators i.e. for 29,20,503 is 1.
Thus, LCM of Fractions is 46449780.Finally, LCM of Fractions for 452/29, 930/20, 884/503 is 46449780.