To determine if a word problem is asking for the Highest Common Factor (HCF) or Lowest Common Multiple (LCM), you need to carefully analyze the relationships between the numbers involved. If the problem involves finding the largest number that divides evenly into two or more numbers, it is likely a HCF problem. On the other hand, if the problem involves finding the smallest number that is a multiple of two or more numbers, it is likely a LCM problem. Understanding the specific mathematical operations required in the word problem will help you identify whether it is testing for HCF or LCM.
The HCF is: 2The LCM is: 2,520
hcf = 42, lcm = 84.
HCF is 48 and LCM is 576
hcf: 1 lcm: 112,038
No. The LCM MUST be a multiple of the HCF.
Depends on what it is asking for.
Two or more numbers are needed to solve for HCF or LCM.
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 will never be less than the GCF.
When simplifying fractions it's useful to know what is the HCF of the numerator and denominator is. When adding or subtracting fractions with different denominators it's useful to know what the LCM of them is.
LCM is 20 and the hcf is 10
The HCF is: 2The LCM is: 2,520
HCF is 60 and the LCM is 360
HCF = 3... LCM = 18 !
hcf = 42, lcm = 84.
HCF is 48 and LCM is 576
It's kind of an inverse relationship. The product of the GCF and LCM of two numbers is the same as the product of the original two numbers, so as the GCF increases, the LCM decreases and vice versa. LCM is divisable by HCF.