Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/255, 30/474, 421/654 quickly i.e. 96830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/255, 30/474, 421/654 is 96830.
LCM(69/255, 30/474, 421/654) = 96830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/255,30/474,421/654
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 69,30,421
Least Common Multiple of Numerators i.e. LCM of 69,30,421 is 290490.
GCF of Denominators means GCF of 255,474,654 as per the given fractions.
GCF of 255,474,654 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,30,421
3 | 69, 30, 421 |
23, 10, 421 |
∴ So the LCM of the given numbers is 3 x 23 x 10 x 421 = 290490
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 69,30,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,30,421) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,30,421) x common factors =1 x 3 = 3
LCM(69,30,421) = ( 69 × 30 × 421 ) / 3
LCM(69,30,421) = 871470 / 3
LCM(69,30,421) = 290490
Lets's calculate GCF of 255,474,654
3 | 255, 474, 654 |
85, 158, 218 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290490/3
Therefore the LCM of Fractions 69/255,30/474,421/654 is 96830
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 255,474,654 . The biggest common factor number is the GCF number.
So the greatest common factor 255,474,654 is 3.
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 69/255, 30/474, 421/654?
Answer: LCM of Numerators as per given numbers 69/255, 30/474, 421/654 is
LCM of Numerators i.e. for 69,30,421 is 290490
GCF of denominators i.e. for 255,474,654 is 3.
Thus, LCM of Fractions is 96830.Finally, LCM of Fractions for 69/255, 30/474, 421/654 is 96830.