two numbers have an HCF of 84 and an LCM of 4620. Both numbers are larger than the HCF. Find the two numbers.
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Answer:
420 and 924
Step-by-step explanation: The prime factorisation of 4620 and 84 are:- 4620 = 2 x 2 x 5 x 7 x 3 x 11 84 = 2 x 2 x 3 x 7 The numbers in common in both are 2, 2, 3 and 7.. So multiply it with the numbers which are not in common that is 5 and 11. i.e., First Number = 2 x 2 x 3 x 7 x 5 = 420 Second number = 2 x 2 x 3 x 7 x 11 = 924 Therefore, the answer is 420 and 924..
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