Question

Three numbers are in the rational 4:5:6 and their LCM is 4500. What is their HFC?

Answer 1

Answer:

SOLUTION

GIVEN

Three numbers are in the ratio 4 : 5 : 6

Their LCM is 4500

TO DETERMINE

Their HCF

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 three numbers are in the ratio 4 : 5 : 6

Let the numbers are 4x , 5x , 6x

LCM = 60x

So by the given condition

60x = 4500

⇒ x = 75

Hence the required HCF

= x

= 75

FINAL ANSWER

Step-by-step explanation: