find the lcm of 290,360,480 by prime factorisation method
Answers
Answer:
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Answer:
1. Decompose all numbers into prime factors
290 2 145 5 29 29 1 360 2 180 2 90 2 45 3 15 3 5 5 1 480 2 240 2 120 2 60 2 30 2 15 3 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 290 = 2 . 5 . 29
Prime factors of 360 = 23 . 32 . 5
Prime factors of 480 = 25 . 3 . 5
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 25, 51
Uncommon prime factors: 29 , 3
Uncommon prime factors with the greatest exponent: 291, 32
4. 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 = 25. 51. 291. 32 = 41760
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