Question

finf the L.C.M of 24; 40 and 84​

Answer 1

Answer:

840

Step-by-step explanation:

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Answer 2

Given: The numbers are$24, 40 \ and\ 84$.

We have to find the LCM of the above numbers.

We are solving in the following way:

We have,

The numbers are$24, 40 \ and\ 84$.

Prime Factorization of $24$ is:

$2 \times 2 \times 2 \times 3 => 2^3 \times 3^1$

Prime Factorization of $40$ is:

$2 \times 2 \times 2 \times 5 => 2^3 \times 5^1$

Prime Factorization of $84$ is:

$2 \times 2 \times 3 \times 7 => 2^2 \times 3^1 \times 7^1$

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

The new superset list is

$2, 2, 2, 3, 5, 7$

Multiplying these factors together to find the LCM.

LCM $= 2 \times 2 \times 2 \times 3 \times 5 \times 7 = 840$

In exponential form:

LCM $= 2^3 \times 3^1 \times 5^1 \times 7^1 = 840$

LCM $=840$

Hence, the LCM of the above number is$840$.