Question

Q2. calculate the L.COM of 21,45,63,81,210

Answer 1

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Prime Factorization of 21 is:

Prime Factorization of 21 is:3 x 7 => 3¹ x 7¹

Prime Factorization of 45 is:

Prime Factorization of 45 is:3 x 3 x 5 => 3² x 5¹

Prime Factorization of 63 is:

Prime Factorization of 63 is:3 x 3 x 7 => 3² x 7¹

Prime Factorization of 81 is:

Prime Factorization of 81 is:3 x 3 x 3 x 3 => 3⁴

Prime Factorization of 210 is:

Prime Factorization of 210 is:2 x 3 x 5 x 7 => 21 x 31 x 51 x 71

Prime Factorization of 210 is:2 x 3 x 5 x 7 => 21 x 31 x 51 x 71For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

Prime Factorization of 210 is:2 x 3 x 5 x 7 => 21 x 31 x 51 x 71For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.The new superset list is

Prime Factorization of 210 is:2 x 3 x 5 x 7 => 21 x 31 x 51 x 71For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.The new superset list is2, 3, 3, 3, 3, 5, 7

Prime Factorization of 210 is:2 x 3 x 5 x 7 => 21 x 31 x 51 x 71For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.The new superset list is2, 3, 3, 3, 3, 5, 7Multiply these factors together to find the LCM.

Prime Factorization of 210 is:2 x 3 x 5 x 7 => 21 x 31 x 51 x 71For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.The new superset list is2, 3, 3, 3, 3, 5, 7Multiply these factors together to find the LCM.LCM = 2 x 3 x 3 x 3 x 3 x 5 x 7 = 5670

Prime Factorization of 210 is:2 x 3 x 5 x 7 => 21 x 31 x 51 x 71For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.The new superset list is2, 3, 3, 3, 3, 5, 7Multiply these factors together to find the LCM.LCM = 2 x 3 x 3 x 3 x 3 x 5 x 7 = 5670In exponential form:

Prime Factorization of 210 is:2 x 3 x 5 x 7 => 21 x 31 x 51 x 71For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.The new superset list is2, 3, 3, 3, 3, 5, 7Multiply these factors together to find the LCM.LCM = 2 x 3 x 3 x 3 x 3 x 5 x 7 = 5670In exponential form:LCM = 21 x 34 x 51 x 71 = 5670

Prime Factorization of 210 is:2 x 3 x 5 x 7 => 21 x 31 x 51 x 71For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.The new superset list is2, 3, 3, 3, 3, 5, 7Multiply these factors together to find the LCM.LCM = 2 x 3 x 3 x 3 x 3 x 5 x 7 = 5670In exponential form:LCM = 21 x 34 x 51 x 71 = 5670LCM = 5670

Prime Factorization of 210 is:2 x 3 x 5 x 7 => 21 x 31 x 51 x 71For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.The new superset list is2, 3, 3, 3, 3, 5, 7Multiply these factors together to find the LCM.LCM = 2 x 3 x 3 x 3 x 3 x 5 x 7 = 5670In exponential form:LCM = 21 x 34 x 51 x 71 = 5670LCM = 5670Therefore,

Prime Factorization of 210 is:2 x 3 x 5 x 7 => 21 x 31 x 51 x 71For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.The new superset list is2, 3, 3, 3, 3, 5, 7Multiply these factors together to find the LCM.LCM = 2 x 3 x 3 x 3 x 3 x 5 x 7 = 5670In exponential form:LCM = 21 x 34 x 51 x 71 = 5670LCM = 5670Therefore,LCM(21, 45, 63, 81, 210) = 5670

Answer 2

Answer:

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