Given numbers are 350,407,683,445,624

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

The LCM of 350,407,683,445,624 is 2701641742800.

Find LCM of 350,407,683,445,624 with Prime Factorization

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

2 x 5 x 35 x 407 x 683 x 89 x 312 = 2701641742800

Therefore, the lowest common multiple of 350,407,683,445,624 is 2701641742800.

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.

350 x 407 x 683 x 445 x 624 = 27016417428000

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

407 : 1, 11, 37, 407

683 : 1, 683

445 : 1, 5, 89, 445

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,407,683,445,624, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

407:11x 37

683:683

445:5x 89

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

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 27016417428000/(1x10)

LCM = 27016417428000/10

LCM = 2701641742800

Thus, we can understand that the LCM of 350,407,683,445,624 is 2701641742800.

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

• LCM of 217, 469, 648, 215, 927
• LCM of 795, 388, 963, 644, 182
• LCM of 848, 759, 783, 543, 901
• LCM of 353, 636, 206, 547, 651
• LCM of 897, 728, 180, 877, 189

1. What is the LCM of 350, 407, 683, 445, 624?

Answer: LCM of 350, 407, 683, 445, 624 is 2701641742800.

2. How to calculate the LCM of 350, 407, 683, 445, 624?

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 350, 407, 683, 445, 624.

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}.