Given numbers are 484,224,234,780

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

The LCM of 484,224,234,780 is 15855840.

Find LCM of 484,224,234,780 with Prime Factorization

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

2 x 2 x 3 x 13 x 121 x 56 x 3 x 5 = 15855840

Therefore, the lowest common multiple of 484,224,234,780 is 15855840.

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.

484 x 224 x 234 x 780 = 19788088320

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,224,234,780, is 2.

Now, the common factors can be found like this.

484:2x 2x 11x 11

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

234:2x 3x 3x 13

780:2x 2x 3x 5x 13

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 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 19788088320/(2x624)

LCM = 19788088320/1248

LCM = 15855840

Thus, we can understand that the LCM of 484,224,234,780 is 15855840.

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

• LCM of 501, 408, 323, 117
• LCM of 580, 497, 242, 104
• LCM of 692, 872, 303, 730
• LCM of 373, 383, 473, 144
• LCM of 780, 606, 557, 517

1. What is the LCM of 484, 224, 234, 780?

Answer: LCM of 484, 224, 234, 780 is 15855840.

2. How to calculate the LCM of 484, 224, 234, 780?

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 484, 224, 234, 780.

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}.