Given numbers are 956,720,936,298,314

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

The LCM of 956,720,936,298,314 is 52331076720.

Find LCM of 956,720,936,298,314 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 239 x 10 x 13 x 149 x 157 = 52331076720

Therefore, the lowest common multiple of 956,720,936,298,314 is 52331076720.

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.

956 x 720 x 936 x 298 x 314 = 60285400381440

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.

956 : 1, 2, 4, 239, 478, 956

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

298 : 1, 2, 149, 298

314 : 1, 2, 157, 314

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,720,936,298,314, is 2.

Now, the common factors can be found like this.

956:2x 2x 239

720:2x 2x 2x 2x 3x 3x 5

936:2x 2x 2x 3x 3x 13

298:2x 149

314:2x 157

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 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 60285400381440/(2x576)

LCM = 60285400381440/1152

LCM = 52331076720

Thus, we can understand that the LCM of 956,720,936,298,314 is 52331076720.

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

• LCM of 568, 744, 410, 460, 852
• LCM of 431, 143, 860, 807, 725
• LCM of 237, 656, 685, 257, 961
• LCM of 830, 248, 845, 570, 308
• LCM of 954, 287, 269, 584, 943

1. What is the LCM of 956, 720, 936, 298, 314?

Answer: LCM of 956, 720, 936, 298, 314 is 52331076720.

2. How to calculate the LCM of 956, 720, 936, 298, 314?

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 956, 720, 936, 298, 314.

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}.