Question

find the lcm of the following numbers using prime factorisation method 1620,1728and 1890​

Answer 1

Answer:

1620=2×2×3×3×3×3×5

1728=2×2×2×2×2×2×3×3×3

1890=2×3×3×3×5×7

Therefore LCM is

2×2×2×2×2×2×3×3×3×3×5×5×7

I hope it helps.

Answer 2

Answer:

181440 is the answer.

Step-by-step explanation:

Solution by Prime Factorization

List all prime factors for each number:

Prime factorization of 1620 is:

2 x 2 x 3 x 3 x 3 x 3 x 5 = 2 two times x 3 four times x 5 one time

Prime factorization of 1728 is:

2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 2 six times x 3 three times

Prime factorization of 1890 is:

2 x 3 x 3 x 3 x 5 x 7 = 2 one time x 3 three times x 5 one time x 7 one time

For each prime factor,find where it occurs most often as a factor & write it that many times in a new list.

The new superset list is:

2,2,2,2,2,2,3,3,3,3,5,7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 = 181440

181440 is the answer.

Hope it helps u.

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