Question

The product of two number is 300. If their HCF is 5, find their LCM

Answer 1

Step-by-step explanation:

lcm * hcf = product of numbers

lcm * 5= 300

lcm = 300/5=60

LCM = 60

Answer 2

SOLUTION

GIVEN

The product of two number is 300.

Their HCF is 5

TO DETERMINE

The LCM

CONCEPT TO BE IMPLEMENTED

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

EVALUATION

Here it is given that product of two number is 300.

Their HCF is 5

Now we have

HCF × LCM = Product of the numbers

$\displaystyle \sf{ \implies 5 \times LCM = 300}$

$\displaystyle \sf{ \implies LCM = \frac{300}{5} }$

$\displaystyle \sf{ \implies LCM = 60 }$

FINAL ANSWER

Hence the required LCM = 60

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