Find the least common multiple of 7 and 12.(1 point)
Responses
168
168
252
252
48
48
84
The least common multiple of 7 and 12 is 84.
Find the least common multiple of 3 and 9.(1 point)
Responses
18
18
3
3
27
27
9
The least common multiple of 3 and 9 is 9.
Mr. McCann runs every 4 days and cycles every 12 days. If he did both activities today, in how many days will he run and cycle on the same day again? Find the LCM of 4 and 12.(1 point)
Responses
8 days
8 days
4 days
4 days
12 days
12 days
24 days
The least common multiple of 4 and 12 is 12. Therefore, Mr. McCann will run and cycle on the same day again in 12 days.
Mateo and Ivy are building towers made of blocks. Mateo is building a tower 9 blocks at a time, and Ivy is building a tower 15 blocks at a time. How many blocks high do both of their towers need to be for them to be the same height?(1 point)
Responses
45 blocks
45 blocks
30 blocks
30 blocks
90 blocks
90 blocks
54 blocks
To find the height at which both towers are the same, we need to find the least common multiple (LCM) of 9 and 15.
The prime factorization of 9 is 3 x 3, and the prime factorization of 15 is 3 x 5.
The LCM is found by taking the highest power of each prime factor present in either number.
Therefore, the LCM of 9 and 15 is 3 x 3 x 5 = 45.
So, both Mateo and Ivy's towers need to be 45 blocks high for them to be the same height.