Given numbers are 376,470,493,306,272

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

The LCM of 376,470,493,306,272 is 16683120.

Find LCM of 376,470,493,306,272 with Prime Factorization

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

2 x 2 x 2 x 17 x 47 x 1 x 5 x 29 x 9 x 2 = 16683120

Therefore, the lowest common multiple of 376,470,493,306,272 is 16683120.

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.

376 x 470 x 493 x 306 x 272 = 7251418206720

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

470 : 1, 2, 5, 10, 47, 94, 235, 470

493 : 1, 17, 29, 493

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,470,493,306,272, is 1.

Now, the common factors can be found like this.

376:2x 2x 2x 47

470:2x 5x 47

493:17x 29

306:2x 3x 3x 17

272:2x 2x 2x 2x 17

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 17x 17x 47 = 434656

Therefore, the value for common factors is 434656.

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 = 7251418206720/(1x434656)

LCM = 7251418206720/434656

LCM = 16683120

Thus, we can understand that the LCM of 376,470,493,306,272 is 16683120.

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

• LCM of 582, 846, 543, 219, 319
• LCM of 768, 243, 741, 609, 314
• LCM of 780, 949, 484, 831, 962
• LCM of 259, 610, 777, 242, 262
• LCM of 806, 454, 818, 316, 123

1. What is the LCM of 376, 470, 493, 306, 272?

Answer: LCM of 376, 470, 493, 306, 272 is 16683120.

2. How to calculate the LCM of 376, 470, 493, 306, 272?

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 376, 470, 493, 306, 272.

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}.