Given numbers are 642,660,544,860,119

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

The LCM of 642,660,544,860,119 is 2890900320.

Find LCM of 642,660,544,860,119 with Prime Factorization

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

2 x 2 x 3 x 5 x 17 x 107 x 11 x 8 x 43 x 7 = 2890900320

Therefore, the lowest common multiple of 642,660,544,860,119 is 2890900320.

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.

642 x 660 x 544 x 860 x 119 = 23589746611200

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.

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

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

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

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,660,544,860,119, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

660:2x 2x 3x 5x 11

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

860:2x 2x 5x 43

119:7x 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 3x 5x 17 = 8160

Therefore, the value for common factors is 8160.

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 = 23589746611200/(1x8160)

LCM = 23589746611200/8160

LCM = 2890900320

Thus, we can understand that the LCM of 642,660,544,860,119 is 2890900320.

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

• LCM of 624, 731, 849, 955, 348
• LCM of 120, 161, 795, 888, 681
• LCM of 937, 609, 393, 149, 634
• LCM of 596, 824, 856, 286, 728
• LCM of 316, 195, 607, 543, 830

1. What is the LCM of 642, 660, 544, 860, 119?

Answer: LCM of 642, 660, 544, 860, 119 is 2890900320.

2. How to calculate the LCM of 642, 660, 544, 860, 119?

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 642, 660, 544, 860, 119.

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}.