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Q: What 2 numbers have the LCM of 45 and the HCF of 3?
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How do you find sets of two numbers if HCF and LCM are known?

You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.


Can 2 numbers have 16 as their HCF and 204 as their LCM?

No.


What 2 numbers have a LCM of 12 and a HCF of 2?

2 and 12


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.


If the HCF and LCM of two numbers are 17 and 102 respectively and the HCF and LCM of two other numbers are 68 and 476 respectively then find the sum of the HCF and LCM of these four numbers?

HCF of 17 and 68 is 17 ..( Lowest Prime factor ) LCM Of 102 and 476 is 7*2^2*3*17 which is 1428 .. ==> Sum of HCF and LCM are 1428+17= 1445 .


What 2 numbers have LCM of 20 and HCF of 2?

2 and 20 have an HCF of 2 and an LCM of 20. You could also use 4 and 10.


Two numbers have the LCM of 20 and a HCF of 2 What are they?

2 and 20


Two numbers have an LCM of 12 an HCF of 2 what are they?

2 and 12


What are the two numbers having HCF 2 and LCM 12?

2 and 12


What 2 numbers have the LCM of 12 and the HCF of 3?

HCF of 3 means the numbers both have a prime factor of 3. LCM of 12 means that, between the numbers, there are factors of 2, 2 and 3. But these 2s cannot be shared, else the HCF would be greater. Therefore, the numbers will need to be 3 and 2x2x3, or 12.


What two numbers have a LCM of 12 and HCF of 2?

How about 4 and 6


What two numbers have a LCM of 20 and HCF of 2?

The answer is 4 and 10.


What 2 numbers have a LCM OF 30 and A HCF OF 3?

3 and 30


What 2 numbers have the LCM of 30 and the HCF of 3?

3 and 30.


What 2 numbers have the LCM of 30 and HCF of 1?

5 and 6


What two numbers have the LCM of 12 and an HCF of 2?

6 and 4


What 2 numbers have a HCF of 1 and a LCM of 77?

77 and 1


What is the relation between HCF and LCM?

Since the product of two numbers is equal to the product of their GCF and LCM, the GCF of two numbers is equal to their product divided by their LCM and their LCM is equal to their product divided by their GCF.


What is the LCM of 64 and 610?

LCM of two numbers = their product divided by their HCF. The HCF of 64 and 610 is only 2 so the LCM is 64 x 610/2 ie 19520.


Why is the LCM of 12 and 13 the same as there product but the LCM of 12 and 14 is not the same as there product?

The LCM is the product of the two numbers divided by their HCF. With 12 and 13, the HCF is 1. Therefore, the LCM will equal the product. With 12 and 14, the HCF is 2. Therefore, the LCM will be half of the product.


Is the product of the 2 original numbers equal to the product of the HCF and the LCM?

Yes.


The product of 3 numbers is 1620the HCF of any 2 numbers is 3find their LCM?

The LCM of 3, 15 and 36 is 180.


What 2 numbers have an LCM of 12 and HCF of 2?

2 and 12


Which 2 numbers have a HCF of 2 and a LCM of 30?

2 and 30


If 13 is HCF of 2 number whose product is 1690 find the LCM?

To find the LCM, you multiply the numbers together and then divide by the HCF. In this case, we don't know the numbers, but we have the HCF (13) and we have the product of the numbers (1690). Thus all you do is divide 1690 by 13 to get: 1690/13 = 130 And thus the LCM of two numbers whose hcf is 13 and product is 1690 is 130.

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