Given numbers are 338,689,850,840,782

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

The LCM of 338,689,850,840,782 is 14709185400.

Find LCM of 338,689,850,840,782 with Prime Factorization

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

2 x 5 x 13 x 17 x 13 x 53 x 5 x 84 x 23 = 14709185400

Therefore, the lowest common multiple of 338,689,850,840,782 is 14709185400.

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.

338 x 689 x 850 x 840 x 782 = 130029198936000

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.

338 : 1, 2, 13, 26, 169, 338

689 : 1, 13, 53, 689

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,689,850,840,782, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

689:13x 53

850:2x 5x 5x 17

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

782:2x 17x 23

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 5x 13x 17 = 8840

Therefore, the value for common factors is 8840.

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 = 130029198936000/(1x8840)

LCM = 130029198936000/8840

LCM = 14709185400

Thus, we can understand that the LCM of 338,689,850,840,782 is 14709185400.

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

• LCM of 497, 983, 727, 978, 894
• LCM of 680, 881, 663, 422, 470
• LCM of 668, 120, 728, 797, 509
• LCM of 964, 314, 362, 619, 479
• LCM of 340, 335, 973, 675, 990

1. What is the LCM of 338, 689, 850, 840, 782?

Answer: LCM of 338, 689, 850, 840, 782 is 14709185400.

2. How to calculate the LCM of 338, 689, 850, 840, 782?

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 338, 689, 850, 840, 782.

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}.