Question
The Least Common Multiple (LCM) of two numbers is 15
times their Highest Common Factor (HCF). The product of these two numbers is 15,360. What is the maximum possible difference between these numbers?Solution
Let HCF of two numbers be ‘x’ So, LCM of two numbers = 15 × x = 15x Or, x × 15x = 15360 Or, 15x2 = 15360 Or, x2 = 1024 Or, x = 32 LCM of two numbers = 32 × 15 = 480 Let two number be ‘32a’ and ‘32b’, where ‘a’ and ‘b’ are co-prime numbers. So, 32ab = 480 Or, a × b = 15 So, when a = 1 and b = 15, then difference will be maximum Desired difference = 32 × 15 – 32 × 1 = 448
What is the main purpose of the 'Social Security Agreement' signed between India and Argentina?
Which company has launched a digital platform offering various financial services to its customers through a single application named 'FinCorp ONE', the...
How many goals did Olivier Giroud score in his international career for France?
The second cohort of the startup labs in India has been announced in partnership with Anymind Group and T-Hub which is a three-month-long programme aims...
Who is the chairman of reconstitute SEBI's alternative investment policy advisory committee, which advises the capital markets regulator on various matt...
- The autobiography "Dalithan" was authored by which social activist?
What is the indigenous content percentage in the Tejas Mk-1A aircraft?
The issue price of the Sovereign Gold Bonds 2022-23 (Series IV) during the subscription period shall be ______ per gram.
Ministry of culture in collaboration with the Ministry of Textile inaugurated Jharokha in ______?
Recently who was appointed as the new CEO of NITI Ayog?
Relevant for Exams:
