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LCM of 335, 920, 963, 793, 404

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


Find the LCM of 335, 920, 963, 793, 404 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 335, 920, 963, 793, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 335,920,963,793,404

Given numbers are 335,920,963,793,404

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

The LCM of 335,920,963,793,404 is 4754266016760.

Find LCM of 335,920,963,793,404 with Prime Factorization


2 335, 920, 963, 793, 404
2 335, 460, 963, 793, 202
5 335, 230, 963, 793, 101
67, 46, 963, 793, 101

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

2 x 2 x 5 x 67 x 46 x 963 x 793 x 101 = 4754266016760

Therefore, the lowest common multiple of 335,920,963,793,404 is 4754266016760.

LCM Formula to Find Lowest Common Multiple of 335,920,963,793,404

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.

335 x 920 x 963 x 793 x 404 = 95085320335200

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.

335 : 1, 5, 67, 335

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

963 : 1, 3, 9, 107, 321, 963

793 : 1, 13, 61, 793

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,920,963,793,404, is 1.

Now, the common factors can be found like this.

335:5x 67

920:2x 2x 2x 5x 23

963:3x 3x 107

793:13x 61

404:2x 2x 101

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 5 = 20

Therefore, the value for common factors is 20.

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 = 95085320335200/(1x20)

LCM = 95085320335200/20

LCM = 4754266016760

Thus, we can understand that the LCM of 335,920,963,793,404 is 4754266016760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 335, 920, 963, 793, 404

1. What is the LCM of 335, 920, 963, 793, 404?

Answer: LCM of 335, 920, 963, 793, 404 is 4754266016760.

2. How to calculate the LCM of 335, 920, 963, 793, 404?

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 335, 920, 963, 793, 404.

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}.