Question

Two numbers have a ratio of 3 : 5 and their

least common multiple is 300. What is the

smallest number among them ?​

Answer 1

Answer :

• Smallest number is 60

Given :

• Two numbers have a ratio of 3 : 5
• LCM = 300

To find :

• Smallest number

Solution :

• Let the smaller number be x

Given, Two numbers have ratio of 3 : 5 so,

• Let the two numbers be 3x and 5x

LCM of 3 and 5 :

• LCM of 3 and 5 = 3 × 5 × x = 15x

Given, LCM = 300

According to question :

➟ 15x = 300

➟ x = 15/300

➟ x = 20

Finding the smallest number :

➟ 3x

➟ 3(20)

➟ 60

➟ 5x

➟ 5(20)

➟ 100

Hence,Smallest number is 60

Verification :

➟ 15x = 300

➟ 15(20) = 300

➟ 300 = 300

Hence Verified