Given numbers are 468,192,994,420,266

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

The LCM of 468,192,994,420,266 is 353545920.

Find LCM of 468,192,994,420,266 with Prime Factorization

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

2 x 2 x 3 x 7 x 39 x 16 x 71 x 5 x 19 = 353545920

Therefore, the lowest common multiple of 468,192,994,420,266 is 353545920.

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.

468 x 192 x 994 x 420 x 266 = 9978480046080

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

994 : 1, 2, 7, 14, 71, 142, 497, 994

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,192,994,420,266, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

192:2x 2x 2x 2x 2x 2x 3

994:2x 7x 71

420:2x 2x 3x 5x 7

266:2x 7x 19

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 2x 3x 3x 7x 7 = 14112

Therefore, the value for common factors is 14112.

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 = 9978480046080/(2x14112)

LCM = 9978480046080/28224

LCM = 353545920

Thus, we can understand that the LCM of 468,192,994,420,266 is 353545920.

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

• LCM of 296, 310, 395, 614, 835
• LCM of 550, 744, 769, 197, 946
• LCM of 188, 830, 242, 679, 287
• LCM of 956, 447, 345, 550, 448
• LCM of 793, 871, 783, 315, 577

1. What is the LCM of 468, 192, 994, 420, 266?

Answer: LCM of 468, 192, 994, 420, 266 is 353545920.

2. How to calculate the LCM of 468, 192, 994, 420, 266?

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 468, 192, 994, 420, 266.

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}.