Given numbers are 350,338,610,792

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

The LCM of 350,338,610,792 is 1428827400.

Find LCM of 350,338,610,792 with Prime Factorization

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

2 x 5 x 35 x 169 x 61 x 396 = 1428827400

Therefore, the lowest common multiple of 350,338,610,792 is 1428827400.

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.

350 x 338 x 610 x 792 = 57153096000

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,338,610,792, is 2.

Now, the common factors can be found like this.

350:2x 5x 5x 7

338:2x 13x 13

610:2x 5x 61

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

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 5 = 20

Therefore, the value for common factors is 20.

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 = 57153096000/(2x20)

LCM = 57153096000/40

LCM = 1428827400

Thus, we can understand that the LCM of 350,338,610,792 is 1428827400.

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

• LCM of 161, 921, 798, 298
• LCM of 741, 315, 243, 366
• LCM of 632, 923, 305, 690
• LCM of 482, 763, 582, 417
• LCM of 704, 924, 996, 297

1. What is the LCM of 350, 338, 610, 792?

Answer: LCM of 350, 338, 610, 792 is 1428827400.

2. How to calculate the LCM of 350, 338, 610, 792?

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 350, 338, 610, 792.

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}.