Given numbers are 296,406,524,708

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

The LCM of 296,406,524,708 is 1393260456.

Find LCM of 296,406,524,708 with Prime Factorization

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

2 x 2 x 74 x 203 x 131 x 177 = 1393260456

Therefore, the lowest common multiple of 296,406,524,708 is 1393260456.

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 406 x 524 x 708 = 44584334592

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

524 : 1, 2, 4, 131, 262, 524

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,406,524,708, is 2.

Now, the common factors can be found like this.

296:2x 2x 2x 37

406:2x 7x 29

524:2x 2x 131

708:2x 2x 3x 59

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 = 44584334592/(2x16)

LCM = 44584334592/32

LCM = 1393260456

Thus, we can understand that the LCM of 296,406,524,708 is 1393260456.

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

• LCM of 565, 253, 572, 906
• LCM of 206, 123, 818, 363
• LCM of 347, 892, 223, 545
• LCM of 845, 500, 160, 567
• LCM of 380, 320, 605, 663

1. What is the LCM of 296, 406, 524, 708?

Answer: LCM of 296, 406, 524, 708 is 1393260456.

2. How to calculate the LCM of 296, 406, 524, 708?

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, 406, 524, 708.

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}.