1.2. Finding a third number with given highest common factor and lowest common multiple
N1. Numbers and their operations

Question

(a) The highest common factor and lowest common multiple of three numbers are 12 and 2376 respectively. If two of the numbers are 108 and 72, find the smallest possible integer value of the third number. [2]

(b) (i) Express 6468 as a product of its prime factors.

(ii) Find the smallest positive integer k, such that $\sqrt{6468k}$ is an integer.

Solution

In

Look

3 numbers, hcf, lcm, square root of prime factors

1.2. Finding a third number with given highest common factor and lowest common multiple N1. Numbers and their operations

1.2. Finding a third number with given highest common factor and lowest common multiple
N1. Numbers and their operations