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LCM of 202, 356, 328, 362, 731

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 202, 356, 328, 362, 731 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 202, 356, 328, 362, 731. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 202,356,328,362,731

Given numbers are 202,356,328,362,731

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 202,356,328,362,731 is 390104693912.

Find LCM of 202,356,328,362,731 with Prime Factorization


2 202, 356, 328, 362, 731
2 101, 178, 164, 181, 731
101, 89, 82, 181, 731

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 101 x 89 x 82 x 181 x 731 = 390104693912

Therefore, the lowest common multiple of 202,356,328,362,731 is 390104693912.

LCM Formula to Find Lowest Common Multiple of 202,356,328,362,731

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

202 x 356 x 328 x 362 x 731 = 6241675102592

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

202 : 1, 2, 101, 202

356 : 1, 2, 4, 89, 178, 356

328 : 1, 2, 4, 8, 41, 82, 164, 328

362 : 1, 2, 181, 362

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,356,328,362,731, is 1.

Now, the common factors can be found like this.

202:2x 101

356:2x 2x 89

328:2x 2x 2x 41

362:2x 181

731:17x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 6241675102592/(1x16)

LCM = 6241675102592/16

LCM = 390104693912

Thus, we can understand that the LCM of 202,356,328,362,731 is 390104693912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 202, 356, 328, 362, 731

1. What is the LCM of 202, 356, 328, 362, 731?

Answer: LCM of 202, 356, 328, 362, 731 is 390104693912.

2. How to calculate the LCM of 202, 356, 328, 362, 731?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 202, 356, 328, 362, 731.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.