Mastering HCF and LCM: Finding the common factors and multiples
Learn how to find the HCF and LCM using factors and prime factors and apply this knowledge to find specific numbers.
00:00:03 Learn the concepts of HCF and LCM and how to find them using factors and prime factors. Apply the knowledge to find specific numbers with HCF = 6 and LCM = 180.
🔢 HCF is the highest common factor of two numbers and can be found by listing out the common factors or prime factors of the numbers.
✖️ Each number can be represented as the product of the HCF and another number.
➗ LCM is the least common multiple of two numbers and can be found by listing out the multiples of the numbers.
00:01:06 The video discusses finding two numbers with a given HCF and LCM. It demonstrates using prime factors to find the LCM and identifies possible answers.
🔢 The first two common multiples of 12 and 18 are 36 and 72.
🔍 The LCM of two numbers can be found by expressing each number as a product of prime factors.
🔀 To find two numbers with a given HCF and LCM, express the LCM as a product of the HCF and prime factors, then form the numbers using the prime factors.
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