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

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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

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

No.

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

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3 and 30.

6 and 10 2x3=6 2x5=10 HCF=2 LCM=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.

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