Given numbers are 596,268,412,698

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

The LCM of 596,268,412,698 is 1435435604.

Find LCM of 596,268,412,698 with Prime Factorization

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

2 x 2 x 149 x 67 x 103 x 349 = 1435435604

Therefore, the lowest common multiple of 596,268,412,698 is 1435435604.

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.

596 x 268 x 412 x 698 = 45933939328

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.

596 : 1, 2, 4, 149, 298, 596

268 : 1, 2, 4, 67, 134, 268

412 : 1, 2, 4, 103, 206, 412

698 : 1, 2, 349, 698

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,268,412,698, is 2.

Now, the common factors can be found like this.

596:2x 2x 149

268:2x 2x 67

412:2x 2x 103

698:2x 349

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 = 45933939328/(2x16)

LCM = 45933939328/32

LCM = 1435435604

Thus, we can understand that the LCM of 596,268,412,698 is 1435435604.

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

• LCM of 641, 820, 305, 373
• LCM of 866, 422, 453, 916
• LCM of 217, 136, 830, 562
• LCM of 238, 859, 816, 742
• LCM of 660, 914, 759, 731

1. What is the LCM of 596, 268, 412, 698?

Answer: LCM of 596, 268, 412, 698 is 1435435604.

2. How to calculate the LCM of 596, 268, 412, 698?

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 596, 268, 412, 698.

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}.