Given numbers are 523,306,702,468,514

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

The LCM of 523,306,702,468,514 is 3208121748.

Find LCM of 523,306,702,468,514 with Prime Factorization

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

2 x 3 x 3 x 13 x 523 x 17 x 3 x 2 x 257 = 3208121748

Therefore, the lowest common multiple of 523,306,702,468,514 is 3208121748.

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.

523 x 306 x 702 x 468 x 514 = 27025217605152

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.

523 : 1, 523

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,306,702,468,514, is 1.

Now, the common factors can be found like this.

523:523

306:2x 3x 3x 17

702:2x 3x 3x 3x 13

468:2x 2x 3x 3x 13

514:2x 257

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 3x 3x 3x 3x 13 = 8424

Therefore, the value for common factors is 8424.

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 = 27025217605152/(1x8424)

LCM = 27025217605152/8424

LCM = 3208121748

Thus, we can understand that the LCM of 523,306,702,468,514 is 3208121748.

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

• LCM of 348, 621, 993, 814, 160
• LCM of 182, 396, 843, 704, 820
• LCM of 641, 422, 864, 161, 564
• LCM of 173, 563, 528, 799, 519
• LCM of 416, 430, 808, 380, 304

1. What is the LCM of 523, 306, 702, 468, 514?

Answer: LCM of 523, 306, 702, 468, 514 is 3208121748.

2. How to calculate the LCM of 523, 306, 702, 468, 514?

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 523, 306, 702, 468, 514.

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}.