Given numbers are 540,816,426,750

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

The LCM of 540,816,426,750 is 65178000.

Find LCM of 540,816,426,750 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 68 x 71 x 25 = 65178000

Therefore, the lowest common multiple of 540,816,426,750 is 65178000.

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 816 x 426 x 750 = 140784480000

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

426 : 1, 2, 3, 6, 71, 142, 213, 426

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,816,426,750, is 6.

Now, the common factors can be found like this.

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

816:2x 2x 2x 2x 3x 17

426:2x 3x 71

750:2x 3x 5x 5x 5

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 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 140784480000/(6x360)

LCM = 140784480000/2160

LCM = 65178000

Thus, we can understand that the LCM of 540,816,426,750 is 65178000.

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

• LCM of 284, 238, 812, 711
• LCM of 546, 220, 494, 437
• LCM of 131, 926, 511, 949
• LCM of 424, 907, 356, 539
• LCM of 956, 330, 142, 221

1. What is the LCM of 540, 816, 426, 750?

Answer: LCM of 540, 816, 426, 750 is 65178000.

2. How to calculate the LCM of 540, 816, 426, 750?

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, 816, 426, 750.

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}.