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Bill and Betty do chores at home. Bill fertilizes the lawn every 48 days, and Betty washes the windows every56 days. Suppose Bill and Betty do their chores today. How many days will pass before they both do their chores on the same day again?

 Apr 16, 2021

Best Answer 

 #1
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To do this question, we will need to find the Least common mutiple of 48 and 56.

 

We can start off by prime factorazation the 48 = 2^4 x 3^1

 

 

 

                                                             and 56 = 2^3x7^1

 

Now multiplying the highest exponent prime factors to calculate the LCM of 48 and 56.

 

LCM(48,56) = 2^4 × 3^1 × 7^1
LCM(48,56) = 336

 Apr 16, 2021
 #1
avatar+180 
+3
Best Answer

To do this question, we will need to find the Least common mutiple of 48 and 56.

 

We can start off by prime factorazation the 48 = 2^4 x 3^1

 

 

 

                                                             and 56 = 2^3x7^1

 

Now multiplying the highest exponent prime factors to calculate the LCM of 48 and 56.

 

LCM(48,56) = 2^4 × 3^1 × 7^1
LCM(48,56) = 336

Mathdory Apr 16, 2021

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