Given numbers are 484,145,728,924

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

The LCM of 484,145,728,924 is 38318280.

Find LCM of 484,145,728,924 with Prime Factorization

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

2 x 2 x 7 x 11 x 11 x 145 x 26 x 3 = 38318280

Therefore, the lowest common multiple of 484,145,728,924 is 38318280.

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.

484 x 145 x 728 x 924 = 47208120960

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

145 : 1, 5, 29, 145

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,145,728,924, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

145:5x 29

728:2x 2x 2x 7x 13

924:2x 2x 3x 7x 11

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 2x 7x 11 = 1232

Therefore, the value for common factors is 1232.

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 = 47208120960/(1x1232)

LCM = 47208120960/1232

LCM = 38318280

Thus, we can understand that the LCM of 484,145,728,924 is 38318280.

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

• LCM of 542, 974, 468, 142
• LCM of 449, 242, 509, 570
• LCM of 758, 559, 701, 107
• LCM of 246, 794, 815, 257
• LCM of 946, 649, 244, 596

1. What is the LCM of 484, 145, 728, 924?

Answer: LCM of 484, 145, 728, 924 is 38318280.

2. How to calculate the LCM of 484, 145, 728, 924?

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 484, 145, 728, 924.

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}.