The three numbers have no prime divisors in common:
[tex]5=5,\quad 6=2\times 3,\quad 7=7[/tex]
So, the least common multiple is the product of the numbers:
[tex]\text{LCM}(5,6,7)=5\times 6\times 7 = 210[/tex]
Answer:
210
Step-by-step explanation:
List the multiples of 5, 6, and 7. (Yes, there are more easier meathods than this.)
The first common multiple is the lowest common multiple (or LCM).
The LCM is 210
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100... 210, 215, 220
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114... 210, 216, 222
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, ... 210, 217, 224
