Given numbers are 782,872,698,742

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

The LCM of 782,872,698,742 is 44146124008.

Find LCM of 782,872,698,742 with Prime Factorization

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

2 x 391 x 436 x 349 x 371 = 44146124008

Therefore, the lowest common multiple of 782,872,698,742 is 44146124008.

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.

782 x 872 x 698 x 742 = 353168992064

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.

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

698 : 1, 2, 349, 698

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,872,698,742, is 2.

Now, the common factors can be found like this.

782:2x 17x 23

872:2x 2x 2x 109

698:2x 349

742:2x 7x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 353168992064/(2x4)

LCM = 353168992064/8

LCM = 44146124008

Thus, we can understand that the LCM of 782,872,698,742 is 44146124008.

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

• LCM of 773, 297, 538, 250
• LCM of 446, 984, 224, 967
• LCM of 714, 690, 634, 878
• LCM of 104, 386, 986, 782
• LCM of 623, 985, 918, 177

1. What is the LCM of 782, 872, 698, 742?

Answer: LCM of 782, 872, 698, 742 is 44146124008.

2. How to calculate the LCM of 782, 872, 698, 742?

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 782, 872, 698, 742.

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}.