Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 453/928, 526/721, 603/764 quickly i.e. 47893878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 453/928, 526/721, 603/764 is 47893878.
LCM(453/928, 526/721, 603/764) = 47893878
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 453/928,526/721,603/764
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 453,526,603
Least Common Multiple of Numerators i.e. LCM of 453,526,603 is 47893878.
GCF of Denominators means GCF of 928,721,764 as per the given fractions.
GCF of 928,721,764 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 453,526,603
3 | 453, 526, 603 |
151, 526, 201 |
∴ So the LCM of the given numbers is 3 x 151 x 526 x 201 = 47893878
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 453,526,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,526,603) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(453,526,603) x common factors =1 x 3 = 3
LCM(453,526,603) = ( 453 × 526 × 603 ) / 3
LCM(453,526,603) = 143681634 / 3
LCM(453,526,603) = 47893878
Lets's calculate GCF of 928,721,764
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47893878/1
Therefore the LCM of Fractions 453/928,526/721,603/764 is 47893878
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Greatest Common Factor
We found the factors 928,721,764 . The biggest common factor number is the GCF number.
So the greatest common factor 928,721,764 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 453/928, 526/721, 603/764?
Answer: LCM of Numerators as per given numbers 453/928, 526/721, 603/764 is
LCM of Numerators i.e. for 453,526,603 is 47893878
GCF of denominators i.e. for 928,721,764 is 1.
Thus, LCM of Fractions is 47893878.Finally, LCM of Fractions for 453/928, 526/721, 603/764 is 47893878.