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ILLUSTRATION : 4 Find the LCM and HCF of the following integers by applying the prime factorisation method. 8, 9 and 25

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SOLUTION : First we write the prime factorisation of each of the given numbers. 8 = 2 x 2 x 2 = 22,9 = 3 x 3 = 32, 25 = 5 x 5 = 52 ICM = 23 x 32 x 52 = 8 x 9 x 25 = 1800 and HCF = 1 Remark: The product of two positive integers is equal to the product of their HCF and LCM, but the same is not true for three or more positive integers.
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