Given numbers are 224,946,214,368,396

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

The LCM of 224,946,214,368,396 is 2346730848.

Find LCM of 224,946,214,368,396 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 14 x 43 x 107 x 23 x 9 = 2346730848

Therefore, the lowest common multiple of 224,946,214,368,396 is 2346730848.

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.

224 x 946 x 214 x 368 x 396 = 6608394067968

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

946 : 1, 2, 11, 22, 43, 86, 473, 946

214 : 1, 2, 107, 214

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,946,214,368,396, is 2.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

946:2x 11x 43

214:2x 107

368:2x 2x 2x 2x 23

396:2x 2x 3x 3x 11

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 2x 11 = 1408

Therefore, the value for common factors is 1408.

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 = 6608394067968/(2x1408)

LCM = 6608394067968/2816

LCM = 2346730848

Thus, we can understand that the LCM of 224,946,214,368,396 is 2346730848.

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

• LCM of 731, 947, 215, 898, 966
• LCM of 324, 840, 759, 690, 769
• LCM of 844, 124, 344, 101, 262
• LCM of 458, 902, 438, 277, 624
• LCM of 677, 517, 837, 333, 545

1. What is the LCM of 224, 946, 214, 368, 396?

Answer: LCM of 224, 946, 214, 368, 396 is 2346730848.

2. How to calculate the LCM of 224, 946, 214, 368, 396?

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 224, 946, 214, 368, 396.

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}.