Given numbers are 296,648,731,920

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

The LCM of 296,648,731,920 is 2015542440.

Find LCM of 296,648,731,920 with Prime Factorization

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

2 x 2 x 2 x 37 x 81 x 731 x 115 = 2015542440

Therefore, the lowest common multiple of 296,648,731,920 is 2015542440.

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 648 x 731 x 920 = 128994716160

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

731 : 1, 17, 43, 731

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,648,731,920, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

648:2x 2x 2x 3x 3x 3x 3

731:17x 43

920:2x 2x 2x 5x 23

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 128994716160/(1x64)

LCM = 128994716160/64

LCM = 2015542440

Thus, we can understand that the LCM of 296,648,731,920 is 2015542440.

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

• LCM of 532, 909, 569, 219
• LCM of 166, 375, 526, 599
• LCM of 622, 317, 997, 853
• LCM of 686, 337, 524, 488
• LCM of 111, 929, 237, 804

1. What is the LCM of 296, 648, 731, 920?

Answer: LCM of 296, 648, 731, 920 is 2015542440.

2. How to calculate the LCM of 296, 648, 731, 920?

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, 648, 731, 920.

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}.