UP Police Constable Exam Model Paper 5

Question : 84 of 150

Marks: +1, -0

The difference between the smallest common multiple and biggest common factor of 5,10 and 35 is

Solution:

Given:
Numbers are 5,10 , and 35
Formula Used:
Smallest common multiple

= {LCM}

of numbers
Biggest common factor

= {HCF}

of numbers
Calculation: Factors of

5=5^{l}

Factors of

10=2^{1} × 5^{1}

Factors of

35=5^{1} × 7^{1}

⇒ {\HCF}=5

⇒ {\LCM}=5 × 2 × 7=70

∴

Required difference

=70-5=65

Go to Question:

Prev Question

Next Question