Answer:
Explanation:
The least common multiple (LCM) of 24 and 90 is 360. This means that 360 is the smallest positive integer that can be evenly divided by both 24 and 90 without leaving a remainder
listing method:
List a few multiples of 24 (such as 24, 48, 72, 96, 120, 144, 168, …) and 90 (such as 90, 180, 270, 360, 450, …).
The common multiples from these lists are 360, 720, …
The smallest common multiple of 24 and 90 is 360.
Prime Factorization Method:
Prime factorization of 24: (2^3 \times 3)
Prime factorization of 90: (2 \times 3^2 \times 5)
LCM of 24 and 90 = (2^3 \times 3^2 \times 5 = 360)