Given numbers are 345,481,299,523

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

The LCM of 345,481,299,523 is 86789235.

Find LCM of 345,481,299,523 with Prime Factorization

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

13 x 23 x 15 x 37 x 1 x 523 = 86789235

Therefore, the lowest common multiple of 345,481,299,523 is 86789235.

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.

345 x 481 x 299 x 523 = 25949981265

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

481 : 1, 13, 37, 481

299 : 1, 13, 23, 299

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,481,299,523, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

481:13x 37

299:13x 23

523:523

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

13x 23 = 299

Therefore, the value for common factors is 299.

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 = 25949981265/(1x299)

LCM = 25949981265/299

LCM = 86789235

Thus, we can understand that the LCM of 345,481,299,523 is 86789235.

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

• LCM of 580, 179, 969, 334
• LCM of 247, 641, 145, 453
• LCM of 923, 438, 259, 103
• LCM of 351, 977, 178, 319
• LCM of 410, 530, 316, 835

1. What is the LCM of 345, 481, 299, 523?

Answer: LCM of 345, 481, 299, 523 is 86789235.

2. How to calculate the LCM of 345, 481, 299, 523?

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 345, 481, 299, 523.

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}.