Given numbers are 614,506,804,413,270

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

The LCM of 614,506,804,413,270 is 1160586490140.

Find LCM of 614,506,804,413,270 with Prime Factorization

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

2 x 3 x 307 x 253 x 134 x 413 x 45 = 1160586490140

Therefore, the lowest common multiple of 614,506,804,413,270 is 1160586490140.

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.

614 x 506 x 804 x 413 x 270 = 27854075763360

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.

614 : 1, 2, 307, 614

506 : 1, 2, 11, 22, 23, 46, 253, 506

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

413 : 1, 7, 59, 413

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,506,804,413,270, is 1.

Now, the common factors can be found like this.

614:2x 307

506:2x 11x 23

804:2x 2x 3x 67

413:7x 59

270:2x 3x 3x 3x 5

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 3 = 24

Therefore, the value for common factors is 24.

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 = 27854075763360/(1x24)

LCM = 27854075763360/24

LCM = 1160586490140

Thus, we can understand that the LCM of 614,506,804,413,270 is 1160586490140.

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

• LCM of 393, 453, 511, 664, 874
• LCM of 797, 753, 418, 145, 681
• LCM of 309, 176, 294, 670, 160
• LCM of 778, 115, 236, 231, 458
• LCM of 494, 945, 413, 364, 420

1. What is the LCM of 614, 506, 804, 413, 270?

Answer: LCM of 614, 506, 804, 413, 270 is 1160586490140.

2. How to calculate the LCM of 614, 506, 804, 413, 270?

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 614, 506, 804, 413, 270.

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}.