Given numbers are 547,414,283,224

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

The LCM of 547,414,283,224 is 7177812768.

Find LCM of 547,414,283,224 with Prime Factorization

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

2 x 547 x 207 x 283 x 112 = 7177812768

Therefore, the lowest common multiple of 547,414,283,224 is 7177812768.

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.

547 x 414 x 283 x 224 = 14355625536

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.

547 : 1, 547

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

283 : 1, 283

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,414,283,224, is 1.

Now, the common factors can be found like this.

547:547

414:2x 3x 3x 23

283:283

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

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14355625536/(1x2)

LCM = 14355625536/2

LCM = 7177812768

Thus, we can understand that the LCM of 547,414,283,224 is 7177812768.

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

• LCM of 262, 107, 879, 994
• LCM of 182, 153, 446, 302
• LCM of 267, 651, 564, 560
• LCM of 194, 123, 979, 114
• LCM of 522, 966, 820, 605

1. What is the LCM of 547, 414, 283, 224?

Answer: LCM of 547, 414, 283, 224 is 7177812768.

2. How to calculate the LCM of 547, 414, 283, 224?

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 547, 414, 283, 224.

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}.