Given numbers are 730,504,381,115,840

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

The LCM of 730,504,381,115,840 is 537347160.

Find LCM of 730,504,381,115,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 73 x 3 x 127 x 23 x 1 = 537347160

Therefore, the lowest common multiple of 730,504,381,115,840 is 537347160.

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.

730 x 504 x 381 x 115 x 840 = 13541148432000

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

381 : 1, 3, 127, 381

115 : 1, 5, 23, 115

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,504,381,115,840, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

504:2x 2x 2x 3x 3x 7

381:3x 127

115:5x 23

840:2x 2x 2x 3x 5x 7

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 5x 5x 7 = 25200

Therefore, the value for common factors is 25200.

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 = 13541148432000/(1x25200)

LCM = 13541148432000/25200

LCM = 537347160

Thus, we can understand that the LCM of 730,504,381,115,840 is 537347160.

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

• LCM of 186, 409, 439, 773, 714
• LCM of 952, 861, 233, 352, 965
• LCM of 980, 271, 755, 171, 377
• LCM of 954, 159, 753, 781, 243
• LCM of 310, 750, 590, 359, 740

1. What is the LCM of 730, 504, 381, 115, 840?

Answer: LCM of 730, 504, 381, 115, 840 is 537347160.

2. How to calculate the LCM of 730, 504, 381, 115, 840?

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 730, 504, 381, 115, 840.

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}.