Question : The HCF of the two numbers is 29, and the other two factors of their LCM are 15 and 13. The larger of the two numbers is:
Option 1: 435
Option 2: 377
Option 3: 406
Option 4: 464

Question

Question : The HCF of the two numbers is 29, and the other two factors of their LCM are 15 and 13. The larger of the two numbers is:

Option 1: 435

Option 2: 377

Option 3: 406

Option 4: 464

Team Careers360 · Accepted Answer

Correct Answer: 435

Solution : The HCF of a group of numbers will be always a factor in their LCM.
HCF is the product of all common prime factors using the least power of each common prime factor.
LCM is the product of the highest powers of all prime factors.
HCF of the two numbers = 29
Since HCF will be always a factor of LCM, 23 is a factor of the LCM.
Given that the other two factors in the LCM are 15 and 13
Hence factors of the LCM are 29,13,15
So, numbers can be taken as (29 × 13) and (29 × 15)
$ herefore$ The largest number = 29 × 15 = 435
Hence, the correct answer is 435.

Popular Searches

Question : The HCF of the two numbers is 29, and the other two factors of their LCM are 15 and 13. The larger of the two numbers is:
Option 1: 435
Option 2: 377
Option 3: 406
Option 4: 464

Related Questions

Question : The HCF of the two numbers is 29, and the other two factors of their LCM are 15 and 13. The smaller of the two numbers is:
Option 1: 377
Option 2: 406
Option 3: 435
Option 4: 464

Question : Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 : 15.
Option 1: 1780
Option 2: 2450
Option 3: 1890
Option 4: 2340

Question : The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480, then find their HCF and LCM, respectively.
Option 1: 46 and 230
Option 2: 48 and 240
Option 3: 64 and 320
Option 4: 56 and 280

Question : The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is:
Option 1: 10
Option 2: 60
Option 3: 15
Option 4: 12

Question : The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 : 7, the larger of the two numbers is _______.
Option 1: 35
Option 2: 25
Option 3: 45
Option 4: 75

Know More about

Staff Selection Commission Sub Inspector ...

Upcoming Exams

Download Careers360 App

All this at the convenience of your phone

Scan and download the app

Popular Searches

Question : The HCF of the two numbers is 29, and the other two factors of their LCM are 15 and 13. The larger of the two numbers is:Option 1: 435Option 2: 377Option 3: 406Option 4: 464

Related Questions

Question : The HCF of the two numbers is 29, and the other two factors of their LCM are 15 and 13. The smaller of the two numbers is:Option 1: 377Option 2: 406Option 3: 435Option 4: 464

Question : Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 : 15.Option 1: 1780Option 2: 2450Option 3: 1890Option 4: 2340

Question : The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480, then find their HCF and LCM, respectively.Option 1: 46 and 230Option 2: 48 and 240Option 3: 64 and 320Option 4: 56 and 280

Question : The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is:Option 1: 10Option 2: 60Option 3: 15Option 4: 12

Question : The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 : 7, the larger of the two numbers is _______.Option 1: 35Option 2: 25Option 3: 45Option 4: 75