Given numbers are 336,756,827,268,318

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

The LCM of 336,756,827,268,318 is 8880511248.

Find LCM of 336,756,827,268,318 with Prime Factorization

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

2 x 2 x 3 x 7 x 4 x 9 x 827 x 67 x 53 = 8880511248

Therefore, the lowest common multiple of 336,756,827,268,318 is 8880511248.

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.

336 x 756 x 827 x 268 x 318 = 17903110675968

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

827 : 1, 827

268 : 1, 2, 4, 67, 134, 268

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,756,827,268,318, is 1.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

756:2x 2x 3x 3x 3x 7

827:827

268:2x 2x 67

318:2x 3x 53

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 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 17903110675968/(1x2016)

LCM = 17903110675968/2016

LCM = 8880511248

Thus, we can understand that the LCM of 336,756,827,268,318 is 8880511248.

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

• LCM of 284, 729, 401, 339, 863
• LCM of 954, 877, 579, 568, 581
• LCM of 622, 485, 115, 755, 607
• LCM of 418, 413, 278, 762, 504
• LCM of 975, 628, 233, 706, 594

1. What is the LCM of 336, 756, 827, 268, 318?

Answer: LCM of 336, 756, 827, 268, 318 is 8880511248.

2. How to calculate the LCM of 336, 756, 827, 268, 318?

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 336, 756, 827, 268, 318.

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}.