Given numbers are 107,648,174,404,723

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

The LCM of 107,648,174,404,723 is 48943519704.

Find LCM of 107,648,174,404,723 with Prime Factorization

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

2 x 2 x 3 x 107 x 54 x 29 x 101 x 241 = 48943519704

Therefore, the lowest common multiple of 107,648,174,404,723 is 48943519704.

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.

107 x 648 x 174 x 404 x 723 = 3523933418688

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.

107 : 1, 107

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

174 : 1, 2, 3, 6, 29, 58, 87, 174

404 : 1, 2, 4, 101, 202, 404

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,648,174,404,723, is 1.

Now, the common factors can be found like this.

107:107

648:2x 2x 2x 3x 3x 3x 3

174:2x 3x 29

404:2x 2x 101

723:3x 241

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 3523933418688/(1x72)

LCM = 3523933418688/72

LCM = 48943519704

Thus, we can understand that the LCM of 107,648,174,404,723 is 48943519704.

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

• LCM of 349, 192, 157, 801, 412
• LCM of 879, 799, 622, 781, 270
• LCM of 308, 371, 584, 136, 133
• LCM of 414, 614, 562, 930, 686
• LCM of 707, 133, 363, 501, 478

1. What is the LCM of 107, 648, 174, 404, 723?

Answer: LCM of 107, 648, 174, 404, 723 is 48943519704.

2. How to calculate the LCM of 107, 648, 174, 404, 723?

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 107, 648, 174, 404, 723.

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}.