Given numbers are 224,260,893,409

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

The LCM of 224,260,893,409 is 5317850720.

Find LCM of 224,260,893,409 with Prime Factorization

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

2 x 2 x 56 x 65 x 893 x 409 = 5317850720

Therefore, the lowest common multiple of 224,260,893,409 is 5317850720.

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 260 x 893 x 409 = 21271402880

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

893 : 1, 19, 47, 893

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,260,893,409, is 1.

Now, the common factors can be found like this.

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

260:2x 2x 5x 13

893:19x 47

409:409

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21271402880/(1x4)

LCM = 21271402880/4

LCM = 5317850720

Thus, we can understand that the LCM of 224,260,893,409 is 5317850720.

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

• LCM of 803, 708, 736, 490
• LCM of 413, 522, 496, 920
• LCM of 948, 645, 439, 429
• LCM of 167, 479, 550, 155
• LCM of 984, 759, 575, 170

1. What is the LCM of 224, 260, 893, 409?

Answer: LCM of 224, 260, 893, 409 is 5317850720.

2. How to calculate the LCM of 224, 260, 893, 409?

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, 260, 893, 409.

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}.