Given numbers are 117,313,278,284

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

The LCM of 117,313,278,284 is 1445650596.

Find LCM of 117,313,278,284 with Prime Factorization

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

2 x 117 x 313 x 139 x 142 = 1445650596

Therefore, the lowest common multiple of 117,313,278,284 is 1445650596.

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.

117 x 313 x 278 x 284 = 2891301192

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.

117 : 1, 3, 9, 13, 39, 117

313 : 1, 313

278 : 1, 2, 139, 278

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,313,278,284, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

313:313

278:2x 139

284:2x 2x 71

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

2 = 2

Therefore, the value for common factors is 2.

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 = 2891301192/(1x2)

LCM = 2891301192/2

LCM = 1445650596

Thus, we can understand that the LCM of 117,313,278,284 is 1445650596.

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

• LCM of 805, 585, 937, 930
• LCM of 350, 405, 259, 223
• LCM of 298, 561, 997, 382
• LCM of 626, 470, 606, 781
• LCM of 246, 118, 507, 277

1. What is the LCM of 117, 313, 278, 284?

Answer: LCM of 117, 313, 278, 284 is 1445650596.

2. How to calculate the LCM of 117, 313, 278, 284?

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 117, 313, 278, 284.

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}.