Can two number have 15 as their HCF and 175 as their LCM? Give reason.
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Hii Friend,,,,,,
For 2 or more numbers,
--LCM is the Product of highest power of each factor involved in the numbers.
--HCF is the Product of smallest power of each common factor.
Now,
We can conclude that LCM is always a multiple of HCF, i.e.,
=> LCM = k × HCF
We are given that,
- LCM = 175
- HCF = 15
√ But in this case, LCM ≠ k × HCF.
=> Therefore, 2 numbers can't have LCM as 175 and HCF as 15.
hope this will help you...
For 2 or more numbers,
--LCM is the Product of highest power of each factor involved in the numbers.
--HCF is the Product of smallest power of each common factor.
Now,
We can conclude that LCM is always a multiple of HCF, i.e.,
=> LCM = k × HCF
We are given that,
- LCM = 175
- HCF = 15
√ But in this case, LCM ≠ k × HCF.
=> Therefore, 2 numbers can't have LCM as 175 and HCF as 15.
hope this will help you...
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