Junior Class 5 Answered
Consider any two prime number and check whether the product of their HCF and LCM is equal to the product of the numbers
Asked by lalitmishra276 | 28 May, 2019, 07:24: PM
Expert Answer
Let the two prime numbers be 3 and 5.
Multiples of 3 and 5 are as follows
3 ... 3, 6, 9, 12, 15, 18,....
5 ... 5, 10, 15, 20, ....
LCM(3, 5) = 15
Since 3 and 5 are prime numbers.
HCF(3, 5) = 1
LCM(3, 5) × HCF(3, 5) = 15 × 1 = 15 ... (ii)
3 × 5 = 15 ...(iii)
From (ii) and (iii), we can say that
The product of any two prime number is equal to the product of their HCF and LCM.
Answered by Yasmeen Khan | 29 May, 2019, 10:26: AM
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