Question

LCM of 5,15,45,125,225​

Answer 1

Divide the numbers by the smallest prime factor,

5 | 5  15  45  125  225

5 | 1    3    9    25   45

5 | 1    3    9     5      9

3 | 1    3    9      1      9

3 | 1    1     3      1      3

  | 1    1      1      1      1

LCM(5, 15, 45, 125,225)=5\times 5\times 5\times 3\times 3LCM(5,15,45,125,225)=5×5×5×3×3

LCM(5, 15, 45, 125,225)=1125LCM(5,15,45,125,225)=1125

Therefore,  LCM of 5, 15, 45, 125 and 225 is 1125.

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Answer 2

Answer:

LCM OF 5, 15, 45, 125, 225 IS 1125

Step-by-step-explanation:

TO FIND LCM WE HAVE TO DIVIDE THE NUMBER BY IT'S PRIME FACTORS:

SO,

WE GET,

3| 5, 15, 45, 125, 225

3| 5, 5, 15, 125, 75

5| 5, 5, 5, 125, 25

5| 1, 1, 1, 25, 5

5| 1, 1, 1, 5,1

 |  1, 1, 1, 1, 1

SO,

THE LCM IS 3*3*5*5*5 = 1125

HENCE,

THE LCM OF 5, 15, 45, 125, 225 IS 1125

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