Question

Find the lcm of 144 , 180 , 384

Answer 1

LCM of 144 , 180 , 384 is 5760

Given :

The numbers 144 , 180 , 384

To find :

LCM of 144 , 180 , 384

Concept :

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Solution :

Step 1 of 3 :

Write down the given numbers

Here the given numbers are 144 , 180 , 384

Step 2 of 3 :

Prime factorise the numbers

144 = 2 × 2 × 2 × 2 × 3 × 3

180 = 2 × 2 × 3 × 3 × 5

384 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3

Step 3 of 3 :

Find the LCM

We know that for the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Hence the required LCM

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5

= 5760

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$1.$ If HCF of two numbers be 40 then which of the following cannot be their LCM.

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Answer 2

Answer:

L.C.M  of 144, 180 and 384 is 2×2×2×2×2×2×2×3×3×5 =  5760

Step-by-step explanation:

L.C.M of 144 , 180 and 384

2║  144 , 180 ,384

2║ 72 ,90 , 192

2║ 36 ,45, 96

2║ 18, 45 ,48

2║ 9 ,45 ,24

 2║ 9 , 45, 12

 2║ 9, 45, 6

 3║ 9 , 45 ,3

 3║ 3 , 15, 1

 5║ 1, 5, 1

   ║ 1, 1, 1

L.C.M  of 144, 180 and 384 is 2×2×2×2×2×2×2×3×3×5 =  5760

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