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LCM of 854, 823, 663, 668, 355

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


Find the LCM of 854, 823, 663, 668, 355 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 854, 823, 663, 668, 355. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,823,663,668,355

Given numbers are 854,823,663,668,355

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

The LCM of 854,823,663,668,355 is 55251752048220.

Find LCM of 854,823,663,668,355 with Prime Factorization


2 854, 823, 663, 668, 355
427, 823, 663, 334, 355

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

2 x 427 x 823 x 663 x 334 x 355 = 55251752048220

Therefore, the lowest common multiple of 854,823,663,668,355 is 55251752048220.

LCM Formula to Find Lowest Common Multiple of 854,823,663,668,355

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.

854 x 823 x 663 x 668 x 355 = 110503504096440

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

823 : 1, 823

663 : 1, 3, 13, 17, 39, 51, 221, 663

668 : 1, 2, 4, 167, 334, 668

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,823,663,668,355, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

823:823

663:3x 13x 17

668:2x 2x 167

355:5x 71

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

2 = 2

Therefore, the value for common factors is 2.

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 = 110503504096440/(1x2)

LCM = 110503504096440/2

LCM = 55251752048220

Thus, we can understand that the LCM of 854,823,663,668,355 is 55251752048220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 823, 663, 668, 355

1. What is the LCM of 854, 823, 663, 668, 355?

Answer: LCM of 854, 823, 663, 668, 355 is 55251752048220.

2. How to calculate the LCM of 854, 823, 663, 668, 355?

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 854, 823, 663, 668, 355.

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}.