Given numbers are 269,214,576,722,481

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

The LCM of 269,214,576,722,481 is 2878795528128.

Find LCM of 269,214,576,722,481 with Prime Factorization

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

2 x 269 x 107 x 288 x 361 x 481 = 2878795528128

Therefore, the lowest common multiple of 269,214,576,722,481 is 2878795528128.

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.

269 x 214 x 576 x 722 x 481 = 11515182112512

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.

269 : 1, 269

214 : 1, 2, 107, 214

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

722 : 1, 2, 19, 38, 361, 722

481 : 1, 13, 37, 481

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,214,576,722,481, is 1.

Now, the common factors can be found like this.

269:269

214:2x 107

576:2x 2x 2x 2x 2x 2x 3x 3

722:2x 19x 19

481:13x 37

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11515182112512/(1x4)

LCM = 11515182112512/4

LCM = 2878795528128

Thus, we can understand that the LCM of 269,214,576,722,481 is 2878795528128.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 707, 308, 925, 559, 273
• LCM of 794, 243, 159, 123, 291
• LCM of 723, 405, 965, 379, 833
• LCM of 227, 392, 130, 166, 100
• LCM of 138, 351, 301, 741, 704

1. What is the LCM of 269, 214, 576, 722, 481?

Answer: LCM of 269, 214, 576, 722, 481 is 2878795528128.

2. How to calculate the LCM of 269, 214, 576, 722, 481?

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 269, 214, 576, 722, 481.

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}.