Given numbers are 514,476,596,170,104

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

The LCM of 514,476,596,170,104 is 2369570840.

Find LCM of 514,476,596,170,104 with Prime Factorization

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

2 x 2 x 17 x 257 x 7 x 149 x 5 x 26 = 2369570840

Therefore, the lowest common multiple of 514,476,596,170,104 is 2369570840.

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.

514 x 476 x 596 x 170 x 104 = 2578093073920

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.

514 : 1, 2, 257, 514

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

596 : 1, 2, 4, 149, 298, 596

170 : 1, 2, 5, 10, 17, 34, 85, 170

104 : 1, 2, 4, 8, 13, 26, 52, 104

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,476,596,170,104, is 2.

Now, the common factors can be found like this.

514:2x 257

476:2x 2x 7x 17

596:2x 2x 149

170:2x 5x 17

104:2x 2x 2x 13

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 2x 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 2578093073920/(2x544)

LCM = 2578093073920/1088

LCM = 2369570840

Thus, we can understand that the LCM of 514,476,596,170,104 is 2369570840.

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

• LCM of 581, 687, 361, 698, 358
• LCM of 111, 646, 366, 813, 353
• LCM of 300, 738, 613, 638, 204
• LCM of 254, 818, 140, 898, 674
• LCM of 812, 371, 454, 636, 474

1. What is the LCM of 514, 476, 596, 170, 104?

Answer: LCM of 514, 476, 596, 170, 104 is 2369570840.

2. How to calculate the LCM of 514, 476, 596, 170, 104?

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 514, 476, 596, 170, 104.

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}.