find LCM and HCF of 510 and 92 and verify LCM and HCF is equals to product of two numbers
Answers
Answered by
427
Answer:
here's ur answer
mark me as brainalist
Attachments:

Answered by
11
Given: Two numbers - 510 and 92
To find: Their HCF and LCM
To verify: LCM × HCF = Product of numbers
Solution:
Calculating HCF and LCM using prime factorization method:
92 = 2 × 2 × 23 × 1
510 = 2 × 3 × 5 × 17 × 1
HCF = 2 × 1 = 2 (product of common factors)
LCM = 2 × 2 × 3 × 5 × 17 × 23 = 23460 (product of maximum frequencies of all prime factors)
Now, LCM × HCF = 23460 × 2 = 46920
and 510 × 92 = 46920
i.e. LCM × HCF = 510 × 92 = 46920 (Verified)
Hence, HCF is 2, LCM is 23460 and it has also been varified that LCM × HCF = product of two numbers.
Similar questions