Make a general statement about the LCM for the following pairs of numbers. Class 7

Make a general statement about the LCM for the following pairs of numbers. Class 7

Question 1.

Make a general statement about the LCM for the following pairs of numbers. You could consider examples before coming up with these general statements. Look for possible explanations of why they hold. Class 7

(a) Two multiples of 3

(b) Two consecutive even numbers

(c) Two consecutive numbers

(d) Two co-prime numbers

Solution:

(a) LCM will be a multiple of 3.

(b) LCM will be a multiple of 4.

(c) LCM will be the product of the two numbers.

(d) LCM will be the product of the two co¬prime numbers.

Question 2.

Here are some more numbers where both numbers are multiples of the same number. Find their HCF: Class 7

(a) 18 × 10, 18 × 15

(b) 10 × 38, 10 × 21

(c) 5 × 13, 5 × 20

(d) 12 × 16, 12 × 20

Solution:

(a) 18 × 5 = 90

(b) 10

(c) 5

(d) 12 × 4 = 48.