Question

Lcm of 184,180and 144​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

144

144 | 2

72 | 2

36 | 2

18 | 2

9 | 3

3 | 3

1 |

180

180 |2

90 |2

45 |3

15 |3

5 |5

1 |

184

184 |2

92 |2

46 |2

23 |23

1

Write all numbers as the product of its prime factors

Prime factors of 144 = 24 . 32

Prime factors of 180 = 22 . 32 . 5

Prime factors of 184 = 23 . 23

Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2

Common prime factors with the greatest

exponent: 24

Uncommon prime factors: 3 , 5 , 23

Uncommon prime factors with the greatest

exponent: 32, 51, 231

Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 24. 32. 51. 231 = 16560

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