Find the LCM of the following using prime
factorization method
(i) 72, 90, 120
(ii) 455, 117, 338
(iii) 2184, 2730, 3360
Answers
Answer:72=2×2×2×3×3 =2^3×3^2
90=2×3×3×5=2×3^2×5
120=2×2×2×3×5=2^3×3×5
In all of the above cases 2 is common and among all of the cases the highest degree of 2 is 2^3 and 3 is also common in all of the cases and the highest degree of 3 is 3^2 and 5 is also common in two of them and its highest degree is 5^1 so the lcm of (72,90,120) = 2^3 × 3^2 × 5 = 360
Answer:
Step-by-step explanation:
72=2×2×2×3×3 =2^3×3^2
90=2×3×3×5=2×3^2×5
120=2×2×2×3×5=2^3×3×5
In all of the above cases 2 is common and among all of the cases the highest degree of 2 is 2^3 and 3 is also common in all of the cases and the highest degree of 3 is 3^2 and 5 is also common in two of them and its highest degree is 5^1 so the lcm of (72,90,120) = 2^3 × 3^2 × 5 = 360
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