Given numbers are 741,923,452,348,792

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

The LCM of 741,923,452,348,792 is 45515249208.

Find LCM of 741,923,452,348,792 with Prime Factorization

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

2 x 2 x 3 x 13 x 19 x 71 x 113 x 29 x 66 = 45515249208

Therefore, the lowest common multiple of 741,923,452,348,792 is 45515249208.

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.

741 x 923 x 452 x 348 x 792 = 85204546517376

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

923 : 1, 13, 71, 923

452 : 1, 2, 4, 113, 226, 452

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,923,452,348,792, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

923:13x 71

452:2x 2x 113

348:2x 2x 3x 29

792:2x 2x 2x 3x 3x 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 13 = 1872

Therefore, the value for common factors is 1872.

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 = 85204546517376/(1x1872)

LCM = 85204546517376/1872

LCM = 45515249208

Thus, we can understand that the LCM of 741,923,452,348,792 is 45515249208.

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

• LCM of 470, 228, 719, 690, 337
• LCM of 609, 557, 812, 155, 243
• LCM of 793, 801, 246, 723, 598
• LCM of 983, 927, 814, 662, 208
• LCM of 969, 617, 276, 283, 947

1. What is the LCM of 741, 923, 452, 348, 792?

Answer: LCM of 741, 923, 452, 348, 792 is 45515249208.

2. How to calculate the LCM of 741, 923, 452, 348, 792?

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 741, 923, 452, 348, 792.

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}.