verify that product 45, 75 of given is equal to the product of their Hcf and LCM.
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Step-by-step explanation:
Hi,
Prime factorisation of 45 = 3 × 3 × 5 = 3² × 5
Prime factorisation of 75 = 5 × 5 × 3 = 5² × 3.
HCF of 45 and 75 = 3 × 5 = 15.
LCM of 45 and 75 = 225
Therefore,
Product of LCM and HCF = 15*225 = 3375
Product of 45 and 75 = 3375
Hence,
Product of two numbers = product of their HCF and LCM .
Hope it will help you :)
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