Q: What 2 numbers have the LCM of 45 and the HCF of 3?

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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.

No.

2 and 12

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.

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 .

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

2 and 20

2 and 12

2 and 12

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.

How about 4 and 6

The answer is 4 and 10.

3 and 30

3 and 30.

5 and 6

6 and 4

77 and 1

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.

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.

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.

Yes.

The LCM of 3, 15 and 36 is 180.

2 and 12

2 and 30

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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