using prime factorisation find the lcm&hcf of 21,28,36,45
21 = 3 × 7
28 = 2 × 2 × 7
36 = 2 × 2 × 3 × 3
45 = 3 × 3 × 5
So, H.C.F. = 1
L.C.M. = 2 × 2 × 3 × 3 × 5 × 7 = 1260
Using prime factorisation, find the HCF and LCM of :
(i) 8, 9, 25 (ii) 12, 15, 21 (iii) 17, 23, 29
(iv) 24, 36, 40 (v) 30, 72, 432 (vi) 21, 28, 36, 45
Find the HCF and LCM of 6, 72 and 120 using the prime factorisation method. [3 MARKS]
(i) 36, 84 (ii) 23, 31 (iii) 96, 404
(iv) 144, 198 (v) 396, 1080 (vi) 1152, 1664
In each case, verify that:
HCF× LCM = product of given numbers.