HCF of 2 numbers is 3 and product of 2 numbers is 180 find LCM
Answers
Answer:
60 is the correct answer
Step-by-step explanation:
LCM = 1st number*2nd number/HCF
LCM = 180/3
LCM = 60
Answer:
The LCM of two numbers is 180 and the numbers are in the ratio of 3:4,what are the two numbers?
Answer
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13 Answers

K S Narayanan, Cost Accountant having 24 years Telecom Experience
Answered October 17, 2019
Let the two numbers be 3a and 4a where “a” is the HCF.
Since 180 is their LCM, it means 180 should be divisible by both 3a and 4a.
=> 180/3a & 180/4a should not leave any remainder.
=> 60/a & 45/a should not leave any remainder.
=> Maximum value of “a” ( i.e. HCF ) is 15.
=> The two numbers are 45 and 60
Alternate Method
Let the two numbers be 3a and 4a where “a” is the HCF.
Now LCM x HCF = Product of two numbers
=> 180 x a = 3a x 4a
=> a = 180/12 = 15
=> The numbers are 45 & 60