Given numbers are 537,534,375,468,966

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

The LCM of 537,534,375,468,966 is 150046123500.

Find LCM of 537,534,375,468,966 with Prime Factorization

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

2 x 3 x 179 x 89 x 125 x 78 x 161 = 150046123500

Therefore, the lowest common multiple of 537,534,375,468,966 is 150046123500.

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.

537 x 534 x 375 x 468 x 966 = 48614944014000

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.

537 : 1, 3, 179, 537

534 : 1, 2, 3, 6, 89, 178, 267, 534

375 : 1, 3, 5, 15, 25, 75, 125, 375

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,534,375,468,966, is 3.

Now, the common factors can be found like this.

537:3x 179

534:2x 3x 89

375:3x 5x 5x 5

468:2x 2x 3x 3x 13

966:2x 3x 7x 23

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 48614944014000/(3x108)

LCM = 48614944014000/324

LCM = 150046123500

Thus, we can understand that the LCM of 537,534,375,468,966 is 150046123500.

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

• LCM of 683, 215, 599, 498, 695
• LCM of 503, 162, 706, 473, 461
• LCM of 576, 709, 426, 660, 436
• LCM of 610, 554, 186, 295, 554
• LCM of 541, 199, 929, 350, 498

1. What is the LCM of 537, 534, 375, 468, 966?

Answer: LCM of 537, 534, 375, 468, 966 is 150046123500.

2. How to calculate the LCM of 537, 534, 375, 468, 966?

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 537, 534, 375, 468, 966.

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}.