Given numbers are 642,792,438,173,220

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

The LCM of 642,792,438,173,220 is 5351159880.

Find LCM of 642,792,438,173,220 with Prime Factorization

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

2 x 2 x 3 x 11 x 107 x 6 x 73 x 173 x 5 = 5351159880

Therefore, the lowest common multiple of 642,792,438,173,220 is 5351159880.

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 792 x 438 x 173 x 220 = 8476237249920

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

438 : 1, 2, 3, 6, 73, 146, 219, 438

173 : 1, 173

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,792,438,173,220, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

792:2x 2x 2x 3x 3x 11

438:2x 3x 73

173:173

220:2x 2x 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 3x 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 8476237249920/(1x1584)

LCM = 8476237249920/1584

LCM = 5351159880

Thus, we can understand that the LCM of 642,792,438,173,220 is 5351159880.

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

• LCM of 192, 788, 604, 392, 342
• LCM of 804, 900, 383, 552, 149
• LCM of 289, 567, 187, 215, 950
• LCM of 211, 865, 134, 178, 235
• LCM of 409, 701, 100, 399, 104

1. What is the LCM of 642, 792, 438, 173, 220?

Answer: LCM of 642, 792, 438, 173, 220 is 5351159880.

2. How to calculate the LCM of 642, 792, 438, 173, 220?

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, 792, 438, 173, 220.

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}.