Kalkylator för minsta gemensamma multipel (MGM)
Hitta minsta gemensamma multipeln steg för steg
Kalkylatorn hittar den minsta gemensamma multipeln för de givna positiva talen, med stegvis lösning, genom att använda antingen faktoriseringsmetoden eller primtalsfaktorisering.
Solution
Your input: find theLCM of $$$8, 72, 24$$$ using factoring.
The LCM of numbers is the smallest number that is divisible by all given numbers.
Find some multiples of each number.
- Multiples of $$$\color{Green}{8}$$$: $$$8, 16, 24, 32, 40, 48, 56, 64, \color{Red}{72}, 80$$$
- Multiples of $$$\color{Green}{72}$$$: $$$\color{Red}{72}, 144, 216, 288, 360$$$
- Multiples of $$$\color{Green}{24}$$$: $$$24, 48, \color{Red}{72}, 96, 120, 144, 168$$$
The smallest common (all numbers share it) multiple is highlighted.
Thus, $$$LCM\left(8, 72, 24\right)=72$$$.
Answer: $$$LCM\left(8, 72, 24\right)=72$$$.