HCF of 3 means that the two numbers share 3 as a prime factor. LCM of 30 means there is a 2, a 3 and a 5 as prime factors between the numbers. With this info, we can have the combination where one number has a 2 and the other a 5 (and both have the 3) or one number has just the 3 and the other has 2, 3 and 5. Thus the 2 numbers can be 6 and 15. Or they can be 3 and 30.
2 and 20
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.
2 and 30 6 and 10
The HCF of both numbers is 2
6 and 10 2x3=6 2x5=10 HCF=2 LCM=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
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
HCF of 3 means that the two numbers share 3 as a prime factor. LCM of 30 means there is a 2, a 3 and a 5 as prime factors between the numbers. With this info, we can have the combination where one number has a 2 and the other a 5 (and both have the 3) or one number has just the 3 and the other has 2, 3 and 5. Thus the 2 numbers can be 6 and 15. Or they can be 3 and 30.
2 and 20
2 and 12
2 and 20 have an HCF of 2 and an LCM of 20. You could also use 4 and 10.
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.