Given numbers are 642,489,708,409,213

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

The LCM of 642,489,708,409,213 is 358580192892.

Find LCM of 642,489,708,409,213 with Prime Factorization

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

2 x 3 x 107 x 163 x 118 x 409 x 71 = 358580192892

Therefore, the lowest common multiple of 642,489,708,409,213 is 358580192892.

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 489 x 708 x 409 x 213 = 19363330416168

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

489 : 1, 3, 163, 489

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

409 : 1, 409

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,489,708,409,213, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

489:3x 163

708:2x 2x 3x 59

409:409

213:3x 71

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 3 = 54

Therefore, the value for common factors is 54.

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 = 19363330416168/(1x54)

LCM = 19363330416168/54

LCM = 358580192892

Thus, we can understand that the LCM of 642,489,708,409,213 is 358580192892.

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

• LCM of 669, 353, 453, 962, 185
• LCM of 882, 409, 835, 490, 362
• LCM of 137, 934, 834, 495, 671
• LCM of 907, 451, 164, 399, 232
• LCM of 910, 241, 933, 722, 981

1. What is the LCM of 642, 489, 708, 409, 213?

Answer: LCM of 642, 489, 708, 409, 213 is 358580192892.

2. How to calculate the LCM of 642, 489, 708, 409, 213?

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, 489, 708, 409, 213.

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}.