Product of two numbers are 625 & their HCF is 5, what is their LCM?
Answers
Answer:
Step-by-step explanation:
If 2 numbers have the lowest common multiple (LCM) of 5, then the 2 numbers must be a factor of 5. The 2 numbers with LCM of 5 can only be 1 and 5.
If 2 numbers have the highest common factor (HCF) of 625, then both numbers must be 625 or larger and both are multiples of 625.
No such numbers are both less than or equal to 5, and 625 or higher.
Therefore the question is not properly worded. It should say 2 numbers with HCF of 5 and LCM of 625.
In this way, we will look for 2 numbers who are both a multiple of 5, and being a factor of 625.
The factors of 625 are 1, 5, 25, 125, and 625.
(5,25) is not a solution (LCM = 25)
(5, 125) and (25, 125) is not a solution
(LCM = 125).
(25, 625), (125, 625) are not solutions
(HCF are 25 and 125 respectively.)
(5, 625) is a solution (HCF = 5, LCM = 625).
Therefore the product of the 2 numbers are
5 * 625 = 3125.