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LCM of 814, 834, 182, 268, 464

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


Find the LCM of 814, 834, 182, 268, 464 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 814, 834, 182, 268, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,834,182,268,464

Given numbers are 814,834,182,268,464

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

The LCM of 814,834,182,268,464 is 480136408752.

Find LCM of 814,834,182,268,464 with Prime Factorization


2 814, 834, 182, 268, 464
2 407, 417, 91, 134, 232
407, 417, 91, 67, 116

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

2 x 2 x 407 x 417 x 91 x 67 x 116 = 480136408752

Therefore, the lowest common multiple of 814,834,182,268,464 is 480136408752.

LCM Formula to Find Lowest Common Multiple of 814,834,182,268,464

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.

814 x 834 x 182 x 268 x 464 = 15364365080064

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

834 : 1, 2, 3, 6, 139, 278, 417, 834

182 : 1, 2, 7, 13, 14, 26, 91, 182

268 : 1, 2, 4, 67, 134, 268

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,834,182,268,464, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

834:2x 3x 139

182:2x 7x 13

268:2x 2x 67

464:2x 2x 2x 2x 29

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 15364365080064/(2x16)

LCM = 15364365080064/32

LCM = 480136408752

Thus, we can understand that the LCM of 814,834,182,268,464 is 480136408752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 834, 182, 268, 464

1. What is the LCM of 814, 834, 182, 268, 464?

Answer: LCM of 814, 834, 182, 268, 464 is 480136408752.

2. How to calculate the LCM of 814, 834, 182, 268, 464?

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 814, 834, 182, 268, 464.

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}.