HCF and LCM Examples 2

In this class, We discuss HCF and LCM Examples 2.

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Example 1:

Find the largest number of four digits divisible by 12, 15, 18, and 27.

Solution:

Largest four-digit number = 9999.

LCM(12, 15, 18, 27) = 540

540 * x are the numbers divisible by 12, 15, 18, and 27.

9999/540 leaves a remainder value of 279.

9999 – 279 = 9720

Example 2:

Find the smallest five-digit number divisible by 16, 24, 36, and 54.

Solution:

Smallest five-digit number = 10000.

LCM(16, 24, 36, 54) = 432

10000/432 gives the remainder 64.

(10000 – 64) + 432 = 10368