Given numbers are 458,526,535,920

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

The LCM of 458,526,535,920 is 5928745880.

Find LCM of 458,526,535,920 with Prime Factorization

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

2 x 5 x 229 x 263 x 107 x 92 = 5928745880

Therefore, the lowest common multiple of 458,526,535,920 is 5928745880.

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.

458 x 526 x 535 x 920 = 118574917600

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.

458 : 1, 2, 229, 458

526 : 1, 2, 263, 526

535 : 1, 5, 107, 535

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,526,535,920, is 1.

Now, the common factors can be found like this.

458:2x 229

526:2x 263

535:5x 107

920:2x 2x 2x 5x 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 5 = 20

Therefore, the value for common factors is 20.

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 = 118574917600/(1x20)

LCM = 118574917600/20

LCM = 5928745880

Thus, we can understand that the LCM of 458,526,535,920 is 5928745880.

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

• LCM of 329, 470, 461, 654
• LCM of 804, 258, 572, 756
• LCM of 106, 109, 198, 421
• LCM of 364, 355, 323, 300
• LCM of 139, 151, 156, 879

1. What is the LCM of 458, 526, 535, 920?

Answer: LCM of 458, 526, 535, 920 is 5928745880.

2. How to calculate the LCM of 458, 526, 535, 920?

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 458, 526, 535, 920.

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}.