Given numbers are 363,368,278,867

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

The LCM of 363,368,278,867 is 5366202864.

Find LCM of 363,368,278,867 with Prime Factorization

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

2 x 3 x 121 x 184 x 139 x 289 = 5366202864

Therefore, the lowest common multiple of 363,368,278,867 is 5366202864.

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.

363 x 368 x 278 x 867 = 32197217184

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.

363 : 1, 3, 11, 33, 121, 363

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

278 : 1, 2, 139, 278

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,368,278,867, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

368:2x 2x 2x 2x 23

278:2x 139

867:3x 17x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 32197217184/(1x6)

LCM = 32197217184/6

LCM = 5366202864

Thus, we can understand that the LCM of 363,368,278,867 is 5366202864.

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

• LCM of 109, 182, 999, 346
• LCM of 720, 810, 473, 402
• LCM of 520, 573, 466, 453
• LCM of 382, 325, 130, 669
• LCM of 950, 832, 731, 921

1. What is the LCM of 363, 368, 278, 867?

Answer: LCM of 363, 368, 278, 867 is 5366202864.

2. How to calculate the LCM of 363, 368, 278, 867?

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 363, 368, 278, 867.

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}.