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LCM of 626, 297, 826, 409, 328

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


Find the LCM of 626, 297, 826, 409, 328 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 626, 297, 826, 409, 328. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 626,297,826,409,328

Given numbers are 626,297,826,409,328

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

The LCM of 626,297,826,409,328 is 5150483381736.

Find LCM of 626,297,826,409,328 with Prime Factorization


2 626, 297, 826, 409, 328
313, 297, 413, 409, 164

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

2 x 313 x 297 x 413 x 409 x 164 = 5150483381736

Therefore, the lowest common multiple of 626,297,826,409,328 is 5150483381736.

LCM Formula to Find Lowest Common Multiple of 626,297,826,409,328

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.

626 x 297 x 826 x 409 x 328 = 20601933526944

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.

626 : 1, 2, 313, 626

297 : 1, 3, 9, 11, 27, 33, 99, 297

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

409 : 1, 409

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,297,826,409,328, is 1.

Now, the common factors can be found like this.

626:2x 313

297:3x 3x 3x 11

826:2x 7x 59

409:409

328:2x 2x 2x 41

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 = 20601933526944/(1x4)

LCM = 20601933526944/4

LCM = 5150483381736

Thus, we can understand that the LCM of 626,297,826,409,328 is 5150483381736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 626, 297, 826, 409, 328

1. What is the LCM of 626, 297, 826, 409, 328?

Answer: LCM of 626, 297, 826, 409, 328 is 5150483381736.

2. How to calculate the LCM of 626, 297, 826, 409, 328?

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 626, 297, 826, 409, 328.

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}.