Find the LCM of 144 , 96 160 by division method.
Answers
★ Least Common Multiple is ★
1440
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★ Calculate Least Common Multiple for ★
144, 96 and 160
★ Factorize of the above numbers ★
144 = 24 • 32
96 = 25 • 3
160 = 25 • 5
1. Decompose all numbers into prime factors
96 l 2
48 l 2
24 l 2
12 l 2
6 l 2
3 l 3
1 l
144 l 2
72 l 2
36 l 2
18 l 2
9 l 3
3 l 3
1 l
160 l 2
80 l 2
40 l 2
20 l 2
10 l 2
5 l 5
1 l
2. Write all numbers as the product of its prime factors
Prime factors of 96 = 25 . 3
Prime factors of 144 = 24 . 32
Prime factors of 160 = 25 . 5
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2
Common prime factors with the greatest exponent: 25
Uncommon prime factors: 3 , 5
Uncommon prime factors with the greatest exponent: 32, 51
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. 32. 51 = 1440