Given numbers are 296,414,608,350

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

The LCM of 296,414,608,350 is 814917600.

Find LCM of 296,414,608,350 with Prime Factorization

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

2 x 2 x 2 x 37 x 207 x 76 x 175 = 814917600

Therefore, the lowest common multiple of 296,414,608,350 is 814917600.

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.

296 x 414 x 608 x 350 = 26077363200

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,414,608,350, is 2.

Now, the common factors can be found like this.

296:2x 2x 2x 37

414:2x 3x 3x 23

608:2x 2x 2x 2x 2x 19

350:2x 5x 5x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 26077363200/(2x16)

LCM = 26077363200/32

LCM = 814917600

Thus, we can understand that the LCM of 296,414,608,350 is 814917600.

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

• LCM of 183, 503, 493, 388
• LCM of 474, 835, 244, 842
• LCM of 401, 736, 500, 942
• LCM of 684, 984, 303, 735
• LCM of 353, 690, 446, 304

1. What is the LCM of 296, 414, 608, 350?

Answer: LCM of 296, 414, 608, 350 is 814917600.

2. How to calculate the LCM of 296, 414, 608, 350?

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 296, 414, 608, 350.

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}.