Given numbers are 274,204,381,590

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

The LCM of 274,204,381,590 is 1047071820.

Find LCM of 274,204,381,590 with Prime Factorization

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

2 x 3 x 137 x 34 x 127 x 295 = 1047071820

Therefore, the lowest common multiple of 274,204,381,590 is 1047071820.

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.

274 x 204 x 381 x 590 = 12564861840

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.

274 : 1, 2, 137, 274

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

381 : 1, 3, 127, 381

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,204,381,590, is 1.

Now, the common factors can be found like this.

274:2x 137

204:2x 2x 3x 17

381:3x 127

590:2x 5x 59

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 3 = 12

Therefore, the value for common factors is 12.

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 = 12564861840/(1x12)

LCM = 12564861840/12

LCM = 1047071820

Thus, we can understand that the LCM of 274,204,381,590 is 1047071820.

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

• LCM of 835, 989, 744, 947
• LCM of 437, 225, 117, 546
• LCM of 159, 244, 729, 863
• LCM of 895, 693, 760, 422
• LCM of 616, 991, 815, 556

1. What is the LCM of 274, 204, 381, 590?

Answer: LCM of 274, 204, 381, 590 is 1047071820.

2. How to calculate the LCM of 274, 204, 381, 590?

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 274, 204, 381, 590.

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}.