can two number have the following HCF and LCM
i)HCF=20 AND LCM =535
ii)HCF=15 AND LCM =525
Answers
Step-by-step explanation:
Given that: can two number have the following HCF and LCM
i)HCF=20 AND LCM =535
ii)HCF=15 AND LCM =525.
To find: Is true or not?
Solution: First of all one should know that LCM and HCF of two given numbers are like that HCF is a factor of LCM.
or in other words LCM is a multiple of HCF.
on conclusion one can say that HCF divides LCM completely.
i)HCF=20 AND LCM =535
Ans: 20)535(26
40
---------
135
120
-------
15
-------
Not true.
Not possible, because LCM is not completely divisible by HCF.
ii)HCF=15 AND LCM =525.
Sol:15)525(35
45
---------
75
75
-------
0
-------
True
Yes,it is possible.
Because LCM us completely divisible by HCF.
Hope it helps you.