Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/453, 443/685, 524/584 quickly i.e. 1160660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/453, 443/685, 524/584 is 1160660.
LCM(10/453, 443/685, 524/584) = 1160660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/453,443/685,524/584
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 10,443,524
Least Common Multiple of Numerators i.e. LCM of 10,443,524 is 1160660.
GCF of Denominators means GCF of 453,685,584 as per the given fractions.
GCF of 453,685,584 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,443,524
2 | 10, 443, 524 |
5, 443, 262 |
∴ So the LCM of the given numbers is 2 x 5 x 443 x 262 = 1160660
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 10,443,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,443,524) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(10,443,524) x common factors =1 x 2 = 2
LCM(10,443,524) = ( 10 × 443 × 524 ) / 2
LCM(10,443,524) = 2321320 / 2
LCM(10,443,524) = 1160660
Lets's calculate GCF of 453,685,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1160660/1
Therefore the LCM of Fractions 10/453,443/685,524/584 is 1160660
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 453,685,584 . The biggest common factor number is the GCF number.
So the greatest common factor 453,685,584 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 10/453, 443/685, 524/584?
Answer: LCM of Numerators as per given numbers 10/453, 443/685, 524/584 is
LCM of Numerators i.e. for 10,443,524 is 1160660
GCF of denominators i.e. for 453,685,584 is 1.
Thus, LCM of Fractions is 1160660.Finally, LCM of Fractions for 10/453, 443/685, 524/584 is 1160660.