What is the relationship between LCM and HCF of two number with their product do you agree that some relationship health true for three number give example to support your answer.
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The multiplication of common prime factors of given numbers with the least exponential powers is the HCF of two numbers or more numbers. For example, The HCF of 12 and 20 is 4.
Prime factors of 12 = 2 × 2× 3
Prime factors of 20 = 2 × 2 ×5
HCF is 2 × 2=4
The LCM or the least common multiple is the smallest natural number which is a multiple of two or more numbers. For example, the LCM of 12 and 20 is 60.
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84 and so on.
Multiples of 20 = 20, 40, 60, 80 and so on.
LCM of 12 and 20 is 60.
HCF and LCM of two numbers are related to each other as well as with the given numbers. For any two numbers a and b, HCF (a, b) × LCM (a, b) = a × b.
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