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LCM of 608, 361, 893, 411, 626

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


Find the LCM of 608, 361, 893, 411, 626 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 608, 361, 893, 411, 626. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 608,361,893,411,626

Given numbers are 608,361,893,411,626

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

The LCM of 608,361,893,411,626 is 69845944992.

Find LCM of 608,361,893,411,626 with Prime Factorization


2 608, 361, 893, 411, 626
19 304, 361, 893, 411, 313
16, 19, 47, 411, 313

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

2 x 19 x 16 x 19 x 47 x 411 x 313 = 69845944992

Therefore, the lowest common multiple of 608,361,893,411,626 is 69845944992.

LCM Formula to Find Lowest Common Multiple of 608,361,893,411,626

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.

608 x 361 x 893 x 411 x 626 = 50428772284224

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

361 : 1, 19, 361

893 : 1, 19, 47, 893

411 : 1, 3, 137, 411

626 : 1, 2, 313, 626

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,361,893,411,626, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

361:19x 19

893:19x 47

411:3x 137

626:2x 313

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

2x 19x 19 = 722

Therefore, the value for common factors is 722.

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 = 50428772284224/(1x722)

LCM = 50428772284224/722

LCM = 69845944992

Thus, we can understand that the LCM of 608,361,893,411,626 is 69845944992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 608, 361, 893, 411, 626

1. What is the LCM of 608, 361, 893, 411, 626?

Answer: LCM of 608, 361, 893, 411, 626 is 69845944992.

2. How to calculate the LCM of 608, 361, 893, 411, 626?

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 608, 361, 893, 411, 626.

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}.