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Saturday, December 14, 2019

The HCF of two numbers is 23 and other two factors of their LCM are 13 and 14. The larger of two numbers is

The HCF of two numbers is 23 and other two factors of their LCM are 13 and 14. The larger of two numbers is
A276
B299
C345
D322

Correct answer is: 322

Explanation:

Let the numbers be 23x and 23y where x and y are co-prime to each other.
∴ LCM = 23xy
As given,
23xy = 23 \times 13 \times 14
∴ x = 13, y = 14
∴ The larger number = 23y = 23 \times 14 = 322

rahul
answered Jan 11 '2020 at 16:58

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