Given numbers are 574,340,391,359,306

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

The LCM of 574,340,391,359,306 is 7251462540.

Find LCM of 574,340,391,359,306 with Prime Factorization

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

2 x 17 x 287 x 10 x 23 x 359 x 9 = 7251462540

Therefore, the lowest common multiple of 574,340,391,359,306 is 7251462540.

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.

574 x 340 x 391 x 359 x 306 = 8382690696240

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

391 : 1, 17, 23, 391

359 : 1, 359

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,340,391,359,306, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

340:2x 2x 5x 17

391:17x 23

359:359

306:2x 3x 3x 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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 8382690696240/(1x1156)

LCM = 8382690696240/1156

LCM = 7251462540

Thus, we can understand that the LCM of 574,340,391,359,306 is 7251462540.

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

• LCM of 572, 264, 731, 480, 615
• LCM of 546, 800, 730, 764, 414
• LCM of 425, 486, 492, 578, 291
• LCM of 417, 407, 113, 982, 841
• LCM of 481, 499, 150, 597, 185

1. What is the LCM of 574, 340, 391, 359, 306?

Answer: LCM of 574, 340, 391, 359, 306 is 7251462540.

2. How to calculate the LCM of 574, 340, 391, 359, 306?

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 574, 340, 391, 359, 306.

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}.