Question 7 of 44beginner💡 UnderstandFill in the Blanks2 marks

Which numbers do both the frog and the squirrel touch? A few common multiples of 3 and 4 are ____.

Correct Answer

A few common multiples of 3 and 4 are 12, 24, 36, 48, 60.

Exercise: Common Multiples | Q: 1 | (Page Page 3)
For More Understanding

Explanation

The frog touches multiples of 3 (3, 6, 9, 12, 15, 18, 21, 24...) and the squirrel touches multiples of 4 (4, 8, 12, 16, 20, 24, 28, 32...). The numbers both touch are common multiples of 3 and 4. The smallest common multiple (LCM) is 12, and other common multiples are 24, 36, 48, 60, etc.

Solution Steps

  1. Step 1: Frog's numbers: multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30...

  2. Step 2: Squirrel's numbers: multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32...

  3. Step 3: Common multiples are numbers appearing in both lists

  4. Step 4: Common multiples of 3 and 4: 12, 24, 36, 48, 60...

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