find the least common multiple of 5, 2, and 4.
find the least common multiple of 5, 2, and 4.
Answer
Answer:
20
Explanation:
Step1: Prime factorize the numbers
- (5 = 5)
- (2=2)
- (4 = 2\times2)
Step2: Determine the highest - power of each prime factor
- For prime factor (2), the highest power is (2^2) (from (4)).
- For prime factor (5), the highest power is (5^1) (from (5)).
Step3: Calculate the LCM
The LCM is the product of the highest - power of each prime factor. So, (LCM(5,2,4)=2^2\times5) [ \begin{align*} 2^2\times5&=4\times5\ & = 20 \end{align*} ]