Given numbers are 456,726,475,417,671

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

The LCM of 456,726,475,417,671 is 11695932600.

Find LCM of 456,726,475,417,671 with Prime Factorization

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

2 x 3 x 11 x 19 x 4 x 11 x 25 x 139 x 61 = 11695932600

Therefore, the lowest common multiple of 456,726,475,417,671 is 11695932600.

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.

456 x 726 x 475 x 417 x 671 = 44000098441200

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

475 : 1, 5, 19, 25, 95, 475

417 : 1, 3, 139, 417

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,726,475,417,671, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

726:2x 3x 11x 11

475:5x 5x 19

417:3x 139

671:11x 61

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

2x 3x 3x 11x 19 = 3762

Therefore, the value for common factors is 3762.

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 = 44000098441200/(1x3762)

LCM = 44000098441200/3762

LCM = 11695932600

Thus, we can understand that the LCM of 456,726,475,417,671 is 11695932600.

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

• LCM of 289, 672, 489, 312, 399
• LCM of 485, 359, 687, 998, 108
• LCM of 134, 878, 321, 799, 530
• LCM of 616, 399, 483, 246, 236
• LCM of 232, 475, 747, 837, 688

1. What is the LCM of 456, 726, 475, 417, 671?

Answer: LCM of 456, 726, 475, 417, 671 is 11695932600.

2. How to calculate the LCM of 456, 726, 475, 417, 671?

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 456, 726, 475, 417, 671.

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}.