Given numbers are 528,493,420,914

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

The LCM of 528,493,420,914 is 4163562480.

Find LCM of 528,493,420,914 with Prime Factorization

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

2 x 2 x 3 x 44 x 493 x 35 x 457 = 4163562480

Therefore, the lowest common multiple of 528,493,420,914 is 4163562480.

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.

528 x 493 x 420 x 914 = 99925499520

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

493 : 1, 17, 29, 493

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,493,420,914, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

493:17x 29

420:2x 2x 3x 5x 7

914:2x 457

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 3 = 24

Therefore, the value for common factors is 24.

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 = 99925499520/(1x24)

LCM = 99925499520/24

LCM = 4163562480

Thus, we can understand that the LCM of 528,493,420,914 is 4163562480.

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

• LCM of 752, 757, 819, 334
• LCM of 447, 997, 499, 753
• LCM of 788, 219, 223, 821
• LCM of 630, 546, 809, 548
• LCM of 300, 819, 972, 521

1. What is the LCM of 528, 493, 420, 914?

Answer: LCM of 528, 493, 420, 914 is 4163562480.

2. How to calculate the LCM of 528, 493, 420, 914?

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 528, 493, 420, 914.

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}.