Given numbers are 742,792,905,850,763

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

The LCM of 742,792,905,850,763 is 2463729899400.

Find LCM of 742,792,905,850,763 with Prime Factorization

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

2 x 5 x 7 x 53 x 396 x 181 x 85 x 109 = 2463729899400

Therefore, the lowest common multiple of 742,792,905,850,763 is 2463729899400.

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 792 x 905 x 850 x 763 = 344922185916000

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

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

905 : 1, 5, 181, 905

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

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,792,905,850,763, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

792:2x 2x 2x 3x 3x 11

905:5x 181

850:2x 5x 5x 17

763:7x 109

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 5x 7 = 140

Therefore, the value for common factors is 140.

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 = 344922185916000/(1x140)

LCM = 344922185916000/140

LCM = 2463729899400

Thus, we can understand that the LCM of 742,792,905,850,763 is 2463729899400.

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

• LCM of 342, 478, 453, 568, 714
• LCM of 468, 569, 932, 346, 283
• LCM of 214, 253, 799, 691, 479
• LCM of 920, 275, 427, 158, 605
• LCM of 182, 769, 169, 382, 291

1. What is the LCM of 742, 792, 905, 850, 763?

Answer: LCM of 742, 792, 905, 850, 763 is 2463729899400.

2. How to calculate the LCM of 742, 792, 905, 850, 763?

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, 792, 905, 850, 763.

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}.