Given numbers are 504,621,921,416

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

The LCM of 504,621,921,416 is 555164064.

Find LCM of 504,621,921,416 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 69 x 307 x 52 = 555164064

Therefore, the lowest common multiple of 504,621,921,416 is 555164064.

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.

504 x 621 x 921 x 416 = 119915437824

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

621 : 1, 3, 9, 23, 27, 69, 207, 621

921 : 1, 3, 307, 921

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,621,921,416, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

621:3x 3x 3x 23

921:3x 307

416:2x 2x 2x 2x 2x 13

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 3 = 216

Therefore, the value for common factors is 216.

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 = 119915437824/(1x216)

LCM = 119915437824/216

LCM = 555164064

Thus, we can understand that the LCM of 504,621,921,416 is 555164064.

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

• LCM of 377, 974, 320, 778
• LCM of 235, 633, 906, 734
• LCM of 538, 435, 607, 903
• LCM of 995, 492, 547, 105
• LCM of 966, 864, 509, 985

1. What is the LCM of 504, 621, 921, 416?

Answer: LCM of 504, 621, 921, 416 is 555164064.

2. How to calculate the LCM of 504, 621, 921, 416?

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 504, 621, 921, 416.

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}.