Factorize the LCM
20 = 2 x 2 x 5
Factorize the HCF
300 = 2 x 2x3x5x5
The HCF is the common factor for both numbers whereas the LCM contains all the unique factors of both numbers.
So, 2 x 2x5 or 20 is a common factor for both numbers.
The factors remaining are 3 and 5.
So, 3 is a factor of one number and 5 is the factor of the second number.
The first number = 20x 3 = 60
The second number = 20x 5 = 100
So 60 and 100 are two numbers
Answer = 60 and 100
Chat with our AI personalities
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.
The LCM is: 126
To find the LCM, you first need to express the numbers as the product of their prime factors. In this case: 10z = 2x5xz 20x = 2x2x5xz The next step is to identify the HCF. In this case that's 2x5xz = 10z. Then you multiply the numbers together and divide by the HCF: 10z x 20z/10z = 20z Thus the LCM of 10z and 20z is 20z.
The LCM is 300.
The LCM is 300.