Question

If HCF [12,15] =3,find LCM [12,15]​

Answer 1

LCM = 60

We have,

LCM = Product of two given numbers / their HCF

LCM(12,15) = (12 × 15) / HCF(12,15)

LCM(12,15) = 180/3

LCM(12,15) = 60

•°• The required number or the LCM(12,15) is 60.

Answer 2

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Using prime factorisation method:

(i) 12, 15 and 21

Factor of 12=2×2×3

Factor of 15=3×5

Factor of 21=3×7

HCF (12,15,21)=3

LCM (12,15,21)=2×2×3×5×7=420

(ii) 17, 23 and 29

Factor of 17=1×17

Factor of 23=1×23

Factor of 29=1×29

HCF (17,23,29)=1

LCM (17,23,29)=1×17×23×29=11,339

(iii) 8, 9 and 25

Factor of 8=2×2×2×1

Factor of 9=3×3×1

Factor of 25=5×5×1

HCF (8,9,25)=1

LCM (8,9,25)=2×2×2×3×3×5×5=1,800