An HCF of 1 means that the two numbers share no prime factors. An LCM of 30, means the numbers have between them prime factors of 2, 3 and 5. Thus any product combination of these factors will give a possible answer. You could have:
2 and 3x5 (15)
3 and 2x5 (10)
or
5 and 2x3 (6)
30 & 1. 15 & 2. 10 & 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.
lcm(9, 12) = 36; hcf(9, 12) = 3.
To find the HCF you first need to express the numbers as products of their prime factors. In this case we have: 18 = 2x3x3 70 = 2x5x7 The next step is to identify any common prime factors. In this case, both numbers have a 2 as a prime factor. Thus the HCF is 2. To find the LCM, you simply multiply the numbers together and divide by the hcf: 18x70/2 = 630 So the LCM is 360.
The LCM of 54 and 24 is 216.The Least Common Multiple (LCM) for 54 24 is 216factoring24=2*2*2*354=2*3*3*3so LCM =2*2*2*3*3*3=216
3 and 30
3 and 30.
3 and 30
3 and 30
3 and 30
Two or more numbers are needed to solve for HCF or LCM.
30 & 1. 15 & 2. 10 & 3.
2 and 15 3 and 10 5 and 6
30 and 3.
In these types of problems, the numbers can also be the answer. 3 and 30 have a GCF of 3 and an LCM of 30. Since the product of the GCF and LCM of two numbers is the same as the product of the numbers, you could also use another factor pair of 90, like 6 and 15.
3 and 9.
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.