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LCM of 362, 652, 283, 826

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


Find the LCM of 362, 652, 283, 826 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 362, 652, 283, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 362,652,283,826

Given numbers are 362,652,283,826

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

The LCM of 362,652,283,826 is 13793124548.

Find LCM of 362,652,283,826 with Prime Factorization


2 362, 652, 283, 826
181, 326, 283, 413

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

2 x 181 x 326 x 283 x 413 = 13793124548

Therefore, the lowest common multiple of 362,652,283,826 is 13793124548.

LCM Formula to Find Lowest Common Multiple of 362,652,283,826

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.

362 x 652 x 283 x 826 = 55172498192

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.

362 : 1, 2, 181, 362

652 : 1, 2, 4, 163, 326, 652

283 : 1, 283

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,652,283,826, is 1.

Now, the common factors can be found like this.

362:2x 181

652:2x 2x 163

283:283

826:2x 7x 59

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 55172498192/(1x4)

LCM = 55172498192/4

LCM = 13793124548

Thus, we can understand that the LCM of 362,652,283,826 is 13793124548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 362, 652, 283, 826

1. What is the LCM of 362, 652, 283, 826?

Answer: LCM of 362, 652, 283, 826 is 13793124548.

2. How to calculate the LCM of 362, 652, 283, 826?

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 362, 652, 283, 826.

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}.