Given numbers are 296,990,278,364

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

The LCM of 296,990,278,364 is 1853331480.

Find LCM of 296,990,278,364 with Prime Factorization

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

2 x 2 x 74 x 495 x 139 x 91 = 1853331480

Therefore, the lowest common multiple of 296,990,278,364 is 1853331480.

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 990 x 278 x 364 = 29653303680

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

278 : 1, 2, 139, 278

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,990,278,364, is 2.

Now, the common factors can be found like this.

296:2x 2x 2x 37

990:2x 3x 3x 5x 11

278:2x 139

364:2x 2x 7x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 29653303680/(2x8)

LCM = 29653303680/16

LCM = 1853331480

Thus, we can understand that the LCM of 296,990,278,364 is 1853331480.

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

• LCM of 594, 296, 746, 525
• LCM of 990, 727, 865, 415
• LCM of 389, 447, 971, 943
• LCM of 802, 128, 478, 113
• LCM of 832, 317, 279, 127

1. What is the LCM of 296, 990, 278, 364?

Answer: LCM of 296, 990, 278, 364 is 1853331480.

2. How to calculate the LCM of 296, 990, 278, 364?

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, 990, 278, 364.

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}.