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LCM of 281, 442, 793, 807

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


Find the LCM of 281, 442, 793, 807 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 281, 442, 793, 807. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 281,442,793,807

Given numbers are 281,442,793,807

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

The LCM of 281,442,793,807 is 6114091854.

Find LCM of 281,442,793,807 with Prime Factorization


13 281, 442, 793, 807
281, 34, 61, 807

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

13 x 281 x 34 x 61 x 807 = 6114091854

Therefore, the lowest common multiple of 281,442,793,807 is 6114091854.

LCM Formula to Find Lowest Common Multiple of 281,442,793,807

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.

281 x 442 x 793 x 807 = 79483194102

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.

281 : 1, 281

442 : 1, 2, 13, 17, 26, 34, 221, 442

793 : 1, 13, 61, 793

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,442,793,807, is 1.

Now, the common factors can be found like this.

281:281

442:2x 13x 17

793:13x 61

807:3x 269

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

13 = 13

Therefore, the value for common factors is 13.

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 = 79483194102/(1x13)

LCM = 79483194102/13

LCM = 6114091854

Thus, we can understand that the LCM of 281,442,793,807 is 6114091854.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 281, 442, 793, 807

1. What is the LCM of 281, 442, 793, 807?

Answer: LCM of 281, 442, 793, 807 is 6114091854.

2. How to calculate the LCM of 281, 442, 793, 807?

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 281, 442, 793, 807.

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}.