Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 885/584, 407/966, 254/430 quickly i.e. 45744765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 885/584, 407/966, 254/430 is 45744765.
LCM(885/584, 407/966, 254/430) = 45744765
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 885/584,407/966,254/430
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 885,407,254
Least Common Multiple of Numerators i.e. LCM of 885,407,254 is 91489530.
GCF of Denominators means GCF of 584,966,430 as per the given fractions.
GCF of 584,966,430 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 885,407,254
Given numbers has no common factors except 1. So, there LCM is their product i.e 91489530
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 885,407,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,407,254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(885,407,254) x common factors =1 x 1 = 1
LCM(885,407,254) = ( 885 × 407 × 254 ) / 1
LCM(885,407,254) = 91489530 / 1
LCM(885,407,254) = 91489530
Lets's calculate GCF of 584,966,430
2 | 584, 966, 430 |
292, 483, 215 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91489530/2
Therefore the LCM of Fractions 885/584,407/966,254/430 is 45744765
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 584,966,430 . The biggest common factor number is the GCF number.
So the greatest common factor 584,966,430 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 885/584, 407/966, 254/430?
Answer: LCM of Numerators as per given numbers 885/584, 407/966, 254/430 is
LCM of Numerators i.e. for 885,407,254 is 91489530
GCF of denominators i.e. for 584,966,430 is 2.
Thus, LCM of Fractions is 45744765.Finally, LCM of Fractions for 885/584, 407/966, 254/430 is 45744765.