Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 284/604, 919/911, 624/621 quickly i.e. 40715376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 284/604, 919/911, 624/621 is 40715376.
LCM(284/604, 919/911, 624/621) = 40715376
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 284/604,919/911,624/621
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 284,919,624
Least Common Multiple of Numerators i.e. LCM of 284,919,624 is 40715376.
GCF of Denominators means GCF of 604,911,621 as per the given fractions.
GCF of 604,911,621 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 284,919,624
2 | 284, 919, 624 |
2 | 142, 919, 312 |
71, 919, 156 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 919 x 156 = 40715376
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 284,919,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,919,624) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(284,919,624) x common factors =1 x 4 = 4
LCM(284,919,624) = ( 284 × 919 × 624 ) / 4
LCM(284,919,624) = 162861504 / 4
LCM(284,919,624) = 40715376
Lets's calculate GCF of 604,911,621
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40715376/1
Therefore the LCM of Fractions 284/604,919/911,624/621 is 40715376
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 604,911,621 . The biggest common factor number is the GCF number.
So the greatest common factor 604,911,621 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 284/604, 919/911, 624/621?
Answer: LCM of Numerators as per given numbers 284/604, 919/911, 624/621 is
LCM of Numerators i.e. for 284,919,624 is 40715376
GCF of denominators i.e. for 604,911,621 is 1.
Thus, LCM of Fractions is 40715376.Finally, LCM of Fractions for 284/604, 919/911, 624/621 is 40715376.