Fewpal
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Find the prime factors of the following numbers and find their LCM and HCF: 

i. 75,135 

ii. 114,76 

iii. 153,187 

iv. 32,24,48

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i. 75 = 3 × 25 

= 3 × 5 × 5 

135 = 3 × 45 

= 3 × 3 × 15 

= 3 × 3 × 3 × 5 

∴ HCF of 75 and 135 = 3 × 5 

= 15 

LCM of 75 and 135 = 3 × 5 × 5 × 3 × 3 

= 675 

ii. 114 = 2 × 57 

= 2 × 3 × 19 

76 = 2 × 38 

= 2 × 2 × 19 

∴ HCF of 114 and 76 = 2 × 19

= 38 

LCM of 114 and 76 = 2 × 19 × 3 × 2 

= 228

iii. 153 = 3 × 51 

= 3 × 3 × 17 

187 = 11 × 17 

∴ HCF of 153 and 187 = 17 

LCM of 153 and 187 = 17 × 3 × 3 × 11 

= 1683

v. 32 = 2 × 16 

= 2 × 2 × 8 

= 2 × 2 × 2 × 4 

= 2 × 2 × 2 × 2 × 2 

24 = 2 × 12 

= 2 × 2 × 6 

= 2 × 2 × 2 × 3 

48 = 2 × 24 

= 2 × 2 × 12 

= 2 × 2 × 2 × 6 

= 2 × 2 × 2 × 2 × 3 

∴ HCF of 32, 24 and 48 = 2 × 2 × 2 

= 8 

LCM of 32,24 and 48 = 2 × 2 × 2 × 2 × 2 × 3 

= 96

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