Question

4,9,7,3,11 ka lcm
$4,9,7,3,11 \: ka \: LCM$
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Answer 1

Answer:

2772

Step-by-step explanation:

Cake / Ladder Method

Write your numbers in a row.

Divide your numbers by prime numbers as long as at least two numbers are evenly divisible by that prime.

Cake / Ladder

3 3 4 7 9 11

1 4 7 3 11

Bring down any numbers that are not evenly divisible by the current factor.

When there are no more primes that evenly divide into at least two numbers you are done.

The LCM is the product of the numbers in the L shape, left column and bottom row. 1 is ignored.

LCM = 3 x 4 x 7 x 3 x 11

LCM = 2772

Therefore,

LCM(3, 4, 7, 9, 11) = 2772

By Prime Factorisation method

ist all prime factors for each number.

Prime Factorization of 3 shows:

3 is prime  =>  31

Prime Factorization of 4 is:

2 x 2  =>  22

Prime Factorization of 7 shows:

7 is prime  =>  71

Prime Factorization of 9 is:

3 x 3  =>  32

Prime Factorization of 11 shows:

11 is prime  =>  111

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 3, 3, 7, 11

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 3 x 7 x 11 = 2772

In exponential form:

LCM = 22 x 32 x 71 x 111 = 2772

LCM = 2772

Therefore,

LCM(3, 4, 7, 9, 11) = 2772

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