Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 525/433, 443/780, 132/296 quickly i.e. 10233300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 525/433, 443/780, 132/296 is 10233300.
LCM(525/433, 443/780, 132/296) = 10233300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 525/433,443/780,132/296
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 525,443,132
Least Common Multiple of Numerators i.e. LCM of 525,443,132 is 10233300.
GCF of Denominators means GCF of 433,780,296 as per the given fractions.
GCF of 433,780,296 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 525,443,132
3 | 525, 443, 132 |
175, 443, 44 |
∴ So the LCM of the given numbers is 3 x 175 x 443 x 44 = 10233300
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 525,443,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,443,132) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(525,443,132) x common factors =1 x 3 = 3
LCM(525,443,132) = ( 525 × 443 × 132 ) / 3
LCM(525,443,132) = 30699900 / 3
LCM(525,443,132) = 10233300
Lets's calculate GCF of 433,780,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10233300/1
Therefore the LCM of Fractions 525/433,443/780,132/296 is 10233300
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 433,780,296 . The biggest common factor number is the GCF number.
So the greatest common factor 433,780,296 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 525/433, 443/780, 132/296?
Answer: LCM of Numerators as per given numbers 525/433, 443/780, 132/296 is
LCM of Numerators i.e. for 525,443,132 is 10233300
GCF of denominators i.e. for 433,780,296 is 1.
Thus, LCM of Fractions is 10233300.Finally, LCM of Fractions for 525/433, 443/780, 132/296 is 10233300.