Answer:
The first three numbers both students said are 24, 48, 72
Step-by-step explanation:
Given : Sam counted out loud by 6s and Jorge counted out loud by 8s.
We have to find the first three numbers both students said.
Since, Sam counted numbers which are multiple of 6
Thus, he counted numbers 6, 12, 18, 24, 30,..........
and Jorge counted numbers which are multiple of 8
Thus, he counted numbers 8, 16, 24, 32, 40,..........
Number that both Sam and Jorge said must be those numbers that are multiple of 6 as well as 8 that is Lowest common multiple of 6 and 8.
6 can be written as 3 × 2
8 can be written as 2 × 2 × 2
Thus, LCM is calculated by multiply factor and taking common factor one at a time.
Thus, LCM(6 ,8) = 3 × 2 × 2 × 2 = 24
Thus, the common number they both called are multiple of 24
that is the first three numbers both students said are 24, 48, 72
