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sam mows his lawn ever 9 days. he washes his cwr ever 15 days. how many days will it be until he mows his lawn and washes his car on the same dsy

User Alocaly
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1 Answer

1 vote

Final answer:

Sam mows his lawn and washes his car on the same day in 45 days.

Step-by-step explanation:

To find the number of days until Sam mows his lawn and washes his car on the same day, we need to find the least common multiple (LCM) of 9 and 15.

The LCM is the smallest multiple that both 9 and 15 have in common.

Prime factorizing 9:

=> 9 = 3 x 3

Prime factorizing 15:

=> 15 = 3 x 5

The LCM of 9 and 15 is the product of the highest powers of all prime factors involved, which is 3 x 3 x 5 = 45.

Therefore, it will be 45 days until Sam mows his lawn and washes his car on the same day.

User Sven Hohenstein
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