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HCF & LCM · Question 33 of 63

Question 33

EasyOriginal question

What is the least number which, when divided by 12, 16 and 18, leaves a remainder of 5 in each case?

149Correct answerYour answer293Correct answerYour answer437Correct answerYour answer3,461Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

LCM(12, 16, 18) = $2^4 \times 3^2 = 144$ .
Add the common remainder: $144 + 5 = 149$ .

Worth noting

293 and 437 also leave remainder 5, but they are not the least. 3,461 uses the product $12 \times 16 \times 18$ instead of the LCM.

Concept: Least number leaving the same remainder
Typical timeTypical: 40 s
Your timeYours: —

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