Given numbers are 224,884,546,460

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

The LCM of 224,884,546,460 is 17078880.

Find LCM of 224,884,546,460 with Prime Factorization

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

2 x 2 x 7 x 13 x 8 x 17 x 3 x 115 = 17078880

Therefore, the lowest common multiple of 224,884,546,460 is 17078880.

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 884 x 546 x 460 = 49733698560

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,884,546,460, is 2.

Now, the common factors can be found like this.

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

884:2x 2x 13x 17

546:2x 3x 7x 13

460:2x 2x 5x 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 2x 2x 2x 7x 13 = 1456

Therefore, the value for common factors is 1456.

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 = 49733698560/(2x1456)

LCM = 49733698560/2912

LCM = 17078880

Thus, we can understand that the LCM of 224,884,546,460 is 17078880.

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

• LCM of 498, 353, 813, 502
• LCM of 155, 756, 576, 951
• LCM of 914, 989, 738, 204
• LCM of 667, 216, 773, 417
• LCM of 486, 646, 817, 517

1. What is the LCM of 224, 884, 546, 460?

Answer: LCM of 224, 884, 546, 460 is 17078880.

2. How to calculate the LCM of 224, 884, 546, 460?

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, 884, 546, 460.

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}.