Question

Find the LCM of 5/2, 8/9, 11/14.

280
360
420
None of these

Answer 1

The LCM of 5/2 , 8/9 , 11/14 is 440

Given :

The fractions 5/2 , 8/9 , 11/14

To find :

The LCM of the fractions

Solution :

Step 1 of 4 :

Write down the given fractions

The given fractions are 5/2 , 8/9 , 11/14

Step 2 of 4 :

Find LCM of the numerators

The numerators are 5 , 8 , 11 respectively

Since 5 , 8 , 11 are prime numbers

LCM of the numerators

= 5 × 8 × 11

= 440

Step 3 of 4 :

Find HCF of the denominators

The denominators are 2 , 9 , 14 respectively

2 , 9 , 14 are prime numbers

HCF of the denominators = 1

Step 4 of 4 :

Find LCM of the fractions

Hence the required LCM of the fractions

$\displaystyle \sf{ = \frac{LCM \: of \: the \: numerators}{HCF \: of \: the \: denominators } }$

$\displaystyle \sf{ = \frac{440}{1} }$

$\displaystyle \sf{ = 440 }$

Hence the correct option is None of these

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Answer 2

"The correct option is None of these"

Given:

The LCM of 5/2, 8/9, 11/14

To Find:

LCM of given fractions

Step-by-step explanation:

LCM of the numerators

5 , 8 , 11 are prime numbers

LCM of the numerators

= 5 × 8 × 11

= 440

HCF of the denominators

The denominators are 2 , 9 , 14

2 , 9 , 14 are prime numbers

HCF of the denominators = 1

Find LCM of the given fractions

= LCM of numerator / HCF of denominator

= 440 / 1

= 440

So, the correct option is None of these