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An HCF of 5 means that the numbers have a common prime factor of 5, but nothing else. A LCM of 60 means the numbers have between them the factors 2, 2, 3 and 5. The 2s cannot be split or the HCF would be higher, so both must go to one number. Assuming the numbers aren't just 60 and 5, the three must go to the other number, giving us:
3x5 and 2x2x5
=15 and 20
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The LCM of two numbers is twice their HCF?
5 and 10 lcm- 10 and hcf= 5
H CF and LCM of 12 and 30?
To find HCF & LCM of two or more numbers. Divide by prime numbers. We note in this case, 12, & 30 are both even numbers, so they will divide by '2'. Hence 2)12 2)6 3)3 = 1 & 2)30 3)15 5)5 = 1 First reduce both numberx to '1'. Second;ly, we note that '2' & '3' bo appear in each set of numbers. Hence 2 x 3 = 6 is the HCF Having made this multiplication we are left with a '2' in the twelve and a '5' in the thirty.. Hence 6(HCF) X 2 X 5 = 60 the LCM. Done!!!! Hope that helps!!!!
Can two numbers have 20 as HCF and 535 as LCM?
HCF of 20 means the two numbers have common prime factors of 2, 2 and 5. However, LCM of 535 means that both of the numbers are odd. This cannot be the case if they have a prime factor of 2. Thus two numbers cannot have 20 as hcf and 535 as lcm.
What is the LCM of the numbers 2 5 12 15?
The LCM=60
What is the HCF of 25 and 60?
To find the HCF of two numbers you first have to break the numbers down into their prime factors. In this case: 25 = 5x5 60 = 2x2x3x5 The next step is to identify any common prime factors. In this case both numbers have a 5 as a prime factor. Thus the HCF of 25 and 60 is 5.
