Given numbers are 642,204,624,698,670

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

The LCM of 642,204,624,698,670 is 132705072240.

Find LCM of 642,204,624,698,670 with Prime Factorization

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

2 x 2 x 3 x 107 x 17 x 52 x 349 x 335 = 132705072240

Therefore, the lowest common multiple of 642,204,624,698,670 is 132705072240.

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 204 x 624 x 698 x 670 = 38219060805120

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

698 : 1, 2, 349, 698

670 : 1, 2, 5, 10, 67, 134, 335, 670

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,204,624,698,670, is 2.

Now, the common factors can be found like this.

642:2x 3x 107

204:2x 2x 3x 17

624:2x 2x 2x 2x 3x 13

698:2x 349

670:2x 5x 67

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 38219060805120/(2x144)

LCM = 38219060805120/288

LCM = 132705072240

Thus, we can understand that the LCM of 642,204,624,698,670 is 132705072240.

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

• LCM of 622, 841, 643, 327, 444
• LCM of 169, 579, 685, 393, 553
• LCM of 535, 503, 260, 185, 744
• LCM of 825, 150, 526, 155, 580
• LCM of 713, 694, 520, 112, 772

1. What is the LCM of 642, 204, 624, 698, 670?

Answer: LCM of 642, 204, 624, 698, 670 is 132705072240.

2. How to calculate the LCM of 642, 204, 624, 698, 670?

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, 204, 624, 698, 670.

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}.