Given numbers are 340,586,754,564

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

The LCM of 340,586,754,564 is 5295500340.

Find LCM of 340,586,754,564 with Prime Factorization

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

2 x 2 x 85 x 293 x 377 x 141 = 5295500340

Therefore, the lowest common multiple of 340,586,754,564 is 5295500340.

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.

340 x 586 x 754 x 564 = 84728005440

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.

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

586 : 1, 2, 293, 586

754 : 1, 2, 13, 26, 29, 58, 377, 754

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,586,754,564, is 2.

Now, the common factors can be found like this.

340:2x 2x 5x 17

586:2x 293

754:2x 13x 29

564:2x 2x 3x 47

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 2 = 8

Therefore, the value for common factors is 8.

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 = 84728005440/(2x8)

LCM = 84728005440/16

LCM = 5295500340

Thus, we can understand that the LCM of 340,586,754,564 is 5295500340.

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

• LCM of 642, 685, 348, 401
• LCM of 421, 520, 822, 630
• LCM of 674, 714, 639, 714
• LCM of 210, 117, 501, 271
• LCM of 479, 113, 703, 883

1. What is the LCM of 340, 586, 754, 564?

Answer: LCM of 340, 586, 754, 564 is 5295500340.

2. How to calculate the LCM of 340, 586, 754, 564?

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 340, 586, 754, 564.

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}.