Given numbers are 540,586,638,692

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

The LCM of 540,586,638,692 is 8731687140.

Find LCM of 540,586,638,692 with Prime Factorization

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

2 x 2 x 135 x 293 x 319 x 173 = 8731687140

Therefore, the lowest common multiple of 540,586,638,692 is 8731687140.

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.

540 x 586 x 638 x 692 = 139706994240

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

586 : 1, 2, 293, 586

638 : 1, 2, 11, 22, 29, 58, 319, 638

692 : 1, 2, 4, 173, 346, 692

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,586,638,692, is 2.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

586:2x 293

638:2x 11x 29

692:2x 2x 173

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 = 139706994240/(2x8)

LCM = 139706994240/16

LCM = 8731687140

Thus, we can understand that the LCM of 540,586,638,692 is 8731687140.

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

• LCM of 106, 562, 355, 106
• LCM of 586, 962, 438, 920
• LCM of 395, 650, 975, 584
• LCM of 880, 118, 270, 584
• LCM of 950, 291, 968, 428

1. What is the LCM of 540, 586, 638, 692?

Answer: LCM of 540, 586, 638, 692 is 8731687140.

2. How to calculate the LCM of 540, 586, 638, 692?

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 540, 586, 638, 692.

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}.