What is the length of the shortest toran that they can both make? Class 7

What is the length of the shortest toran that they can both make? Class 7

Question 1.

What is the length of the shortest toran that they can both make? Class 7

Solution:

It is the LCM of 6 and 8, i.e., 24.

Question 2.

What about the largest common multiple? Does such a number exist? Class 7

Solution:

There is no end to it. That is, such a number dos not exist.

Question 3.

Do you remember the ‘Idli-Vada’ game from Grade 6 (see chapter ‘Prime Time’)? Two numbers are chosen and whenever players come to their multiples, ‘idli’ or ‘vada’ should be called out depending on whose multiple the number is. If the number happens to be a common multiple, then ‘idli-vada’ should be called out. In each problem below, the two numbers corresponding to ‘idli’ and Vada’ are given. Find the first number for which ‘idli-vada’ will be called out: Class 7

(a) 4 and 6

(b) 7 and 11

(c) 14 and 30

(d) 15 and 55

Solution:

(a) 12

(b) 77

(c) 210

(d) 165