Given numbers are 742,819,460,487,149

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

The LCM of 742,819,460,487,149 is 1448881384860.

Find LCM of 742,819,460,487,149 with Prime Factorization

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

2 x 7 x 53 x 117 x 230 x 487 x 149 = 1448881384860

Therefore, the lowest common multiple of 742,819,460,487,149 is 1448881384860.

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.

742 x 819 x 460 x 487 x 149 = 20284339388040

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

487 : 1, 487

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,819,460,487,149, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

819:3x 3x 7x 13

460:2x 2x 5x 23

487:487

149:149

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 20284339388040/(1x14)

LCM = 20284339388040/14

LCM = 1448881384860

Thus, we can understand that the LCM of 742,819,460,487,149 is 1448881384860.

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

• LCM of 128, 680, 979, 150, 404
• LCM of 853, 467, 484, 466, 111
• LCM of 899, 929, 750, 788, 749
• LCM of 838, 219, 431, 355, 769
• LCM of 223, 649, 150, 369, 681

1. What is the LCM of 742, 819, 460, 487, 149?

Answer: LCM of 742, 819, 460, 487, 149 is 1448881384860.

2. How to calculate the LCM of 742, 819, 460, 487, 149?

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 742, 819, 460, 487, 149.

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}.