Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 267/10, 533/30, 574/584 quickly i.e. 996177 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 267/10, 533/30, 574/584 is 996177.
LCM(267/10, 533/30, 574/584) = 996177
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 267/10,533/30,574/584
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 267,533,574
Least Common Multiple of Numerators i.e. LCM of 267,533,574 is 1992354.
GCF of Denominators means GCF of 10,30,584 as per the given fractions.
GCF of 10,30,584 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 267,533,574
41 | 267, 533, 574 |
267, 13, 14 |
∴ So the LCM of the given numbers is 41 x 267 x 13 x 14 = 1992354
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 267,533,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,533,574) = 1
common factors(in case of two or more numbers have common factors) = 41
GCF(267,533,574) x common factors =1 x 41 = 41
LCM(267,533,574) = ( 267 × 533 × 574 ) / 41
LCM(267,533,574) = 81686514 / 41
LCM(267,533,574) = 1992354
Lets's calculate GCF of 10,30,584
2 | 10, 30, 584 |
5, 15, 292 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1992354/2
Therefore the LCM of Fractions 267/10,533/30,574/584 is 996177
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
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 10,30,584 . The biggest common factor number is the GCF number.
So the greatest common factor 10,30,584 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 267/10, 533/30, 574/584?
Answer: LCM of Numerators as per given numbers 267/10, 533/30, 574/584 is
LCM of Numerators i.e. for 267,533,574 is 1992354
GCF of denominators i.e. for 10,30,584 is 2.
Thus, LCM of Fractions is 996177.Finally, LCM of Fractions for 267/10, 533/30, 574/584 is 996177.