Given numbers are 296,700,402,317,666

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

The LCM of 296,700,402,317,666 is 9901621800.

Find LCM of 296,700,402,317,666 with Prime Factorization

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

2 x 2 x 3 x 37 x 2 x 175 x 67 x 317 x 3 = 9901621800

Therefore, the lowest common multiple of 296,700,402,317,666 is 9901621800.

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 700 x 402 x 317 x 666 = 17585280316800

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

402 : 1, 2, 3, 6, 67, 134, 201, 402

317 : 1, 317

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,700,402,317,666, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

700:2x 2x 5x 5x 7

402:2x 3x 67

317:317

666:2x 3x 3x 37

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 2x 3x 37 = 1776

Therefore, the value for common factors is 1776.

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 = 17585280316800/(1x1776)

LCM = 17585280316800/1776

LCM = 9901621800

Thus, we can understand that the LCM of 296,700,402,317,666 is 9901621800.

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

• LCM of 717, 398, 452, 186, 974
• LCM of 286, 312, 934, 472, 144
• LCM of 796, 870, 926, 144, 906
• LCM of 822, 800, 524, 434, 502
• LCM of 480, 889, 581, 425, 170

1. What is the LCM of 296, 700, 402, 317, 666?

Answer: LCM of 296, 700, 402, 317, 666 is 9901621800.

2. How to calculate the LCM of 296, 700, 402, 317, 666?

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, 700, 402, 317, 666.

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}.