Question

Find the HCF and LCM of the following numbers and verify that product of the numbers = HCF×LCM. i) 13,39 ii) 15,4 iii) 21,24 ​

Answer 1

Step-by-step explanation:

(i) hcf of 13 and 39 is 13

Lcm is 39

hcf× lcm = a×b

13×39= 13×39

507=507

(ii) hcf of 15 and 4 is 1

lcm is 60

hcf×lcm= a×b

1×60= 15×4

60=60

(iii) hcf of 21 and 24 is 3

and lcm is 168

hcf× lcm= a×b

3×168= 21×24

504=504

Answer 2

$13 = 13 \times 1 \\ \\ 39 = 13 \times 3 \\ \\ hcf = 13 \\ lcm = 13 \times 3 = 39 \\ \\ \\ \\ 15 = 3 \times 5 \\ \\ 4 = 2 \times 2 \\ \\ hcf = 1 \\ lcm = 2 \times 2 \times 3 \times 5 = 60 \\ \\ \\ \\ 21 = 3 \times 7 \\ \\ 24 = 2 \times 2 \times 3 \times 2 \\ \\ hcf = 2 \\ lcm = 2 \times 2 \times 2 \times 3 \times 7 =168$

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