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.
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Most times the question will specify "find the HCF" or "find the LCM." If you're trying to find common denominators, that's an LCM problem. If you're trying to reduce fractions, that's an HCF problem.
The LCM will help you add and subtract fractions. The GCF will help you simplify fractions.
lcm(9, 12) = 36; hcf(9, 12) = 3.
To find the LCM of 110 and 20, you first need to break them up into their prime factors: 110 = 2x5x11 20 = 2x2x5 The next step is to identify the HCF. In this case the HCF will be 2x5 = 10. To find the LCM you multiply the numbers together and divide by the HCF: 110x20/10 = 220. Thus the LCM of 110 and 20 is 220.
It helps to reduce fractions.
HCF means the highest common factor of two or more numbers. LCM means the lowest common multiple of two or more numbers.
Write 100 and 120 in their prime compositions in power form: 100 = 223052 120 = 233151 For hcf, take lowest power of each prime across the compositions; for LCM, take highest powers: hcf = 223051 = 4 x 1 x 5 = 20 LCM = 233152 = 8 x 3 x 25 = 600