Given numbers are 467,286,990,924

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

The LCM of 467,286,990,924 is 84144060.

Find LCM of 467,286,990,924 with Prime Factorization

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

2 x 3 x 11 x 467 x 13 x 15 x 14 = 84144060

Therefore, the lowest common multiple of 467,286,990,924 is 84144060.

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.

467 x 286 x 990 x 924 = 122177175120

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.

467 : 1, 467

286 : 1, 2, 11, 13, 22, 26, 143, 286

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 467,286,990,924, is 1.

Now, the common factors can be found like this.

467:467

286:2x 11x 13

990:2x 3x 3x 5x 11

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 3x 11x 11 = 1452

Therefore, the value for common factors is 1452.

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 = 122177175120/(1x1452)

LCM = 122177175120/1452

LCM = 84144060

Thus, we can understand that the LCM of 467,286,990,924 is 84144060.

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

• LCM of 822, 969, 733, 292
• LCM of 285, 387, 359, 957
• LCM of 769, 853, 474, 382
• LCM of 896, 847, 871, 466
• LCM of 958, 467, 620, 759

1. What is the LCM of 467, 286, 990, 924?

Answer: LCM of 467, 286, 990, 924 is 84144060.

2. How to calculate the LCM of 467, 286, 990, 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 467, 286, 990, 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}.