Given numbers are 426,729,624,533

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

The LCM of 426,729,624,533 is 441400752.

Find LCM of 426,729,624,533 with Prime Factorization

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

2 x 3 x 13 x 71 x 243 x 8 x 41 = 441400752

Therefore, the lowest common multiple of 426,729,624,533 is 441400752.

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.

426 x 729 x 624 x 533 = 103287775968

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.

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

729 : 1, 3, 9, 27, 81, 243, 729

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,729,624,533, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

729:3x 3x 3x 3x 3x 3

624:2x 2x 2x 2x 3x 13

533:13x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 103287775968/(1x234)

LCM = 103287775968/234

LCM = 441400752

Thus, we can understand that the LCM of 426,729,624,533 is 441400752.

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

• LCM of 590, 995, 860, 517
• LCM of 807, 743, 827, 708
• LCM of 118, 537, 969, 644
• LCM of 254, 829, 102, 852
• LCM of 804, 870, 998, 369

1. What is the LCM of 426, 729, 624, 533?

Answer: LCM of 426, 729, 624, 533 is 441400752.

2. How to calculate the LCM of 426, 729, 624, 533?

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 426, 729, 624, 533.

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}.