Given numbers are 783,104,840,149,491

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

The LCM of 783,104,840,149,491 is 208511929080.

Find LCM of 783,104,840,149,491 with Prime Factorization

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

2 x 2 x 2 x 3 x 261 x 13 x 35 x 149 x 491 = 208511929080

Therefore, the lowest common multiple of 783,104,840,149,491 is 208511929080.

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.

783 x 104 x 840 x 149 x 491 = 5004286297920

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

149 : 1, 149

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,104,840,149,491, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

104:2x 2x 2x 13

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

149:149

491:491

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5004286297920/(1x24)

LCM = 5004286297920/24

LCM = 208511929080

Thus, we can understand that the LCM of 783,104,840,149,491 is 208511929080.

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

• LCM of 333, 539, 664, 250, 488
• LCM of 309, 456, 816, 507, 883
• LCM of 331, 516, 356, 509, 405
• LCM of 428, 183, 551, 554, 602
• LCM of 501, 895, 678, 910, 348

1. What is the LCM of 783, 104, 840, 149, 491?

Answer: LCM of 783, 104, 840, 149, 491 is 208511929080.

2. How to calculate the LCM of 783, 104, 840, 149, 491?

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 783, 104, 840, 149, 491.

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}.