The multiples of 24 are 24, 48, 72, 96,120, 144, 168, 192, and so on. The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, and so on. The common multiples of 24 and 12 are 24, 48, 72, 96,120, 144, 168, 192 and so on.
2.)A-10
Explanation:
No Explanation Needed
3.)D-20
Explanation:
The LCM of 4 and 20 is 20. To find the least common multiple (LCM) of 4 and 20, we need to find the multiples of 4 and 20 (multiples of 4 = 4, 8, 12, 16 . . . . 20; multiples of 20 = 20, 40, 60, 80) and choose the smallest multiple that is exactly divisible by 4 and 20, i.e., 20.
4.)D-Prime Factorization
Explanation:
Prime factorization of 18 and 30 is (2 × 3 × 3) = 21 × 32 and (2 × 3 × 5) = 21 × 31 × 51 respectively. LCM of 18 and 30 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 21 × 32 × 51 = 90. Hence, the LCM of 18 and 30 by prime factorization is 90.
5.)A-12
Explanation:
Because LCM (12,6)=12.Jackie will go hiking and swimming again 12 days from now.
Answers & Comments
Answer:
1.)B-28
Explanation:
The multiples of 24 are 24, 48, 72, 96,120, 144, 168, 192, and so on. The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, and so on. The common multiples of 24 and 12 are 24, 48, 72, 96,120, 144, 168, 192 and so on.
2.)A-10
Explanation:
No Explanation Needed
3.)D-20
Explanation:
The LCM of 4 and 20 is 20. To find the least common multiple (LCM) of 4 and 20, we need to find the multiples of 4 and 20 (multiples of 4 = 4, 8, 12, 16 . . . . 20; multiples of 20 = 20, 40, 60, 80) and choose the smallest multiple that is exactly divisible by 4 and 20, i.e., 20.
4.)D-Prime Factorization
Explanation:
Prime factorization of 18 and 30 is (2 × 3 × 3) = 21 × 32 and (2 × 3 × 5) = 21 × 31 × 51 respectively. LCM of 18 and 30 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 21 × 32 × 51 = 90. Hence, the LCM of 18 and 30 by prime factorization is 90.
5.)A-12
Explanation:
Because LCM (12,6)=12.Jackie will go hiking and swimming again 12 days from now.
Step-by-step explanation:
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