Given numbers are 540,754,688,251

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

The LCM of 540,754,688,251 is 8788955760.

Find LCM of 540,754,688,251 with Prime Factorization

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

2 x 2 x 135 x 377 x 172 x 251 = 8788955760

Therefore, the lowest common multiple of 540,754,688,251 is 8788955760.

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 754 x 688 x 251 = 70311646080

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

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

251 : 1, 251

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,754,688,251, is 1.

Now, the common factors can be found like this.

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

754:2x 13x 29

688:2x 2x 2x 2x 43

251:251

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 = 70311646080/(1x8)

LCM = 70311646080/8

LCM = 8788955760

Thus, we can understand that the LCM of 540,754,688,251 is 8788955760.

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

• LCM of 900, 235, 494, 854
• LCM of 283, 977, 546, 860
• LCM of 585, 115, 890, 685
• LCM of 589, 501, 954, 593
• LCM of 135, 877, 307, 466

1. What is the LCM of 540, 754, 688, 251?

Answer: LCM of 540, 754, 688, 251 is 8788955760.

2. How to calculate the LCM of 540, 754, 688, 251?

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, 754, 688, 251.

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}.