Given numbers are 442,117,224,299

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

The LCM of 442,117,224,299 is 10247328.

Find LCM of 442,117,224,299 with Prime Factorization

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

2 x 13 x 17 x 9 x 112 x 23 = 10247328

Therefore, the lowest common multiple of 442,117,224,299 is 10247328.

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.

442 x 117 x 224 x 299 = 3463596864

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

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

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,117,224,299, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

117:3x 3x 13

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

299:13x 23

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 3463596864/(1x338)

LCM = 3463596864/338

LCM = 10247328

Thus, we can understand that the LCM of 442,117,224,299 is 10247328.

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

• LCM of 714, 963, 219, 902
• LCM of 660, 542, 826, 166
• LCM of 226, 762, 856, 578
• LCM of 340, 532, 183, 537
• LCM of 457, 939, 344, 568

1. What is the LCM of 442, 117, 224, 299?

Answer: LCM of 442, 117, 224, 299 is 10247328.

2. How to calculate the LCM of 442, 117, 224, 299?

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 442, 117, 224, 299.

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}.