clockw0rker
Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

the least common multiple of 24, 28 and 45 is:

A) 72
B) 2520
C) 4
D) 144
E) 1260

Sagot :

Answer: 2520

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Find all prime factors

prime factors of 24 are 2, 2, 2 and 3.

The prime factors of 28 are 2, 2 and 7.

The prime factors of 45 are 3, 3 and 5.

Determine the maximum number of times each prime factor (2, 3, 5, 7) occurs in the factorization of the given numbers:

Prime factorNumber 24 28 45 Max. occurrence

2 3 2 0 3

3 1 0 2 2

5 0 0 1 1

7 0 1 0 1

The prime factors 5 and 7 occur one time, while 2 and 3 occur more than once.

The least common multiple is the product of all factors in the greatest number of their occurrence.

LCM = 2*2*2*3*3*5*7

LCM = 2^3*3^2*5*7

LCM = 2520

The least common multiple of 24, 28 and 45 is 2520.

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.