Given numbers are 544,642,806,804,660

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

The LCM of 544,642,806,804,660 is 259326244320.

Find LCM of 544,642,806,804,660 with Prime Factorization

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

2 x 2 x 3 x 136 x 107 x 403 x 67 x 55 = 259326244320

Therefore, the lowest common multiple of 544,642,806,804,660 is 259326244320.

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.

544 x 642 x 806 x 804 x 660 = 149371916728320

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

642 : 1, 2, 3, 6, 107, 214, 321, 642

806 : 1, 2, 13, 26, 31, 62, 403, 806

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,642,806,804,660, is 2.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

642:2x 3x 107

806:2x 13x 31

804:2x 2x 3x 67

660:2x 2x 3x 5x 11

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 149371916728320/(2x288)

LCM = 149371916728320/576

LCM = 259326244320

Thus, we can understand that the LCM of 544,642,806,804,660 is 259326244320.

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

• LCM of 223, 162, 790, 941, 302
• LCM of 294, 967, 791, 514, 744
• LCM of 685, 859, 478, 642, 678
• LCM of 437, 970, 858, 697, 829
• LCM of 418, 314, 759, 363, 710

1. What is the LCM of 544, 642, 806, 804, 660?

Answer: LCM of 544, 642, 806, 804, 660 is 259326244320.

2. How to calculate the LCM of 544, 642, 806, 804, 660?

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 544, 642, 806, 804, 660.

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}.