Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 525/804, 591/530, 430/756 quickly i.e. 4447275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 525/804, 591/530, 430/756 is 4447275.
LCM(525/804, 591/530, 430/756) = 4447275
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 525/804,591/530,430/756
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 525,591,430
Least Common Multiple of Numerators i.e. LCM of 525,591,430 is 8894550.
GCF of Denominators means GCF of 804,530,756 as per the given fractions.
GCF of 804,530,756 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 525,591,430
3 | 525, 591, 430 |
5 | 175, 197, 430 |
35, 197, 86 |
∴ So the LCM of the given numbers is 3 x 5 x 35 x 197 x 86 = 8894550
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 525,591,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,591,430) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(525,591,430) x common factors =1 x 15 = 15
LCM(525,591,430) = ( 525 × 591 × 430 ) / 15
LCM(525,591,430) = 133418250 / 15
LCM(525,591,430) = 8894550
Lets's calculate GCF of 804,530,756
2 | 804, 530, 756 |
402, 265, 378 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8894550/2
Therefore the LCM of Fractions 525/804,591/530,430/756 is 4447275
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 804,530,756 . The biggest common factor number is the GCF number.
So the greatest common factor 804,530,756 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 525/804, 591/530, 430/756?
Answer: LCM of Numerators as per given numbers 525/804, 591/530, 430/756 is
LCM of Numerators i.e. for 525,591,430 is 8894550
GCF of denominators i.e. for 804,530,756 is 2.
Thus, LCM of Fractions is 4447275.Finally, LCM of Fractions for 525/804, 591/530, 430/756 is 4447275.