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CBSE Class 6 Answered

Relationship between HCF & LCM of following pairs 64,84
Asked by lavinakirti123 | 17 Oct, 2019, 09:30: AM
answered-by-expert Expert Answer
 
Prime factorisation of 64 = 2 × 2 × 2 × 2 × 2 × 2 
Prime factorisation of 84 = 2 × 2 × 3 × 7 
HCF(64, 84) = 2 × 2 = 4

Prime factorisation of 64 = 2 × 2 × 2 × 2 × 2 × 2  = 26
Prime factorisation of 84 = 2 × 2 × 3 × 7 = 22 × 3 × 7 
LCM(64, 84) = 26 × 3 × 7 = 1344 
 
LCM(64, 84) × HCF(64, 84)  = 1344 × 4 = 5376  ... (1)

64 × 84 = 5376  ... (2)

From (1) and (2),
LCM(64, 84) × HCF(64, 84) =64 × 84 

Answered by Yasmeen Khan | 17 Oct, 2019, 10:54: AM
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