Question

The LCM of 26 * 32 * 5 * 7, 23 * 35 * 7 and 2 * 34 * 5 is:

Answer 1

,*is the sine of multiply or not first tell me that thing

Answer 2

$\bf LCM(26 \times 32 \times 5 \times 7, \: 23 \times 35 \times 7, \: 2 \times 34 \times 5)\\ \bf = 79,701,440$

Given:

• $26 \times 32 \times 5 \times 7$
• $23 \times 35 \times 7$
• $2 \times 34 \times 5$

To find:

• Find the LCM of numbers.

Solution:

Concept to be used:

• Write prime factors of numbers.
• Take LCM.

Step 1:

Write the prime factors of numbers.

$26 \times 32 \times 5 \times 7 = {2}^{6} \times 5 \times 7 \times 13$

$23 \times 35 \times 7 = 5 \times {7}^{2} \times 23$

$2 \times 34 \times 5 = {2}^{2} \times 5 \times 17$

Step 2:

Find LCM of numbers.

$LCM(26 \times 32 \times 5 \times 7, \: 23 \times 35 \times 7, \: 2 \times 34 \times 5) \\\bf = {2}^{6} \times {5} \times {7}^{2} \times 13 \times 17 \times 23)$

or

$LCM(26 \times 32 \times 5 \times 7, \: 23 \times 35 \times 7, \: 2 \times 34 \times 5) \\\bf = 79,701,440$

Thus,

$\bf LCM(26 \times 32 \times 5 \times 7, \: 23 \times 35 \times 7, \: 2 \times 34 \times 5)\\ \bf = 79,701,440$

#SPJ3

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