Given numbers are 624,460,229,884

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

The LCM of 624,460,229,884 is 279361680.

Find LCM of 624,460,229,884 with Prime Factorization

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

2 x 2 x 13 x 12 x 115 x 229 x 17 = 279361680

Therefore, the lowest common multiple of 624,460,229,884 is 279361680.

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.

624 x 460 x 229 x 884 = 58107229440

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

229 : 1, 229

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,460,229,884, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

460:2x 2x 5x 23

229:229

884:2x 2x 13x 17

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 13 = 208

Therefore, the value for common factors is 208.

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 = 58107229440/(1x208)

LCM = 58107229440/208

LCM = 279361680

Thus, we can understand that the LCM of 624,460,229,884 is 279361680.

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

• LCM of 192, 685, 210, 223
• LCM of 867, 411, 512, 655
• LCM of 188, 597, 375, 252
• LCM of 959, 380, 479, 100
• LCM of 148, 965, 101, 105

1. What is the LCM of 624, 460, 229, 884?

Answer: LCM of 624, 460, 229, 884 is 279361680.

2. How to calculate the LCM of 624, 460, 229, 884?

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 624, 460, 229, 884.

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}.