Given numbers are 540,920,758,788

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

The LCM of 540,920,758,788 is 1854628920.

Find LCM of 540,920,758,788 with Prime Factorization

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

2 x 2 x 5 x 27 x 46 x 379 x 197 = 1854628920

Therefore, the lowest common multiple of 540,920,758,788 is 1854628920.

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 920 x 758 x 788 = 296740627200

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

758 : 1, 2, 379, 758

788 : 1, 2, 4, 197, 394, 788

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,920,758,788, is 2.

Now, the common factors can be found like this.

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

920:2x 2x 2x 5x 23

758:2x 379

788:2x 2x 197

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 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 296740627200/(2x80)

LCM = 296740627200/160

LCM = 1854628920

Thus, we can understand that the LCM of 540,920,758,788 is 1854628920.

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

• LCM of 747, 170, 960, 217
• LCM of 329, 660, 469, 958
• LCM of 754, 693, 475, 358
• LCM of 243, 138, 966, 409
• LCM of 596, 248, 426, 819

1. What is the LCM of 540, 920, 758, 788?

Answer: LCM of 540, 920, 758, 788 is 1854628920.

2. How to calculate the LCM of 540, 920, 758, 788?

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, 920, 758, 788.

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}.