Study guides

☆☆

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

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

2 and 12

None. But 4 and 6 have a LCM (not LMC) of 12 and HCF of 2.

Yes.

3 and 12

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.

Related questions

3 and 30.

3 and 30

5 and 6

In order to have a LCM of 30, the two numbers must only have unique primes that multiply to give 30. 30 is the product of 2, 3 and 5. To have an HCF of 2, the two numbers must only share a factor of 2. Thus the factors of one must be 2 and 3, and the factors of the other must be 2 and 5: 2x3 = 6 2x5 = 10 Therefore the two numbers with an HCF of 2 and an LCM of 30 are 6 and 10. or 2 and 30

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.

30 & 1. 15 & 2. 10 & 3.

hcf(14, 30) = 2 lcm(14, 30) = 210 14 = 2 x 7 30 = 2 x 3 x 5 hcf = 2 lcm = 2 x 3 x 5 x 7 = 210

2 and 15 3 and 10 5 and 6

No.

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 12

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

People also asked