Given numbers are 202,195,924,468,372

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

The LCM of 202,195,924,468,372 is 564143580.

Find LCM of 202,195,924,468,372 with Prime Factorization

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

2 x 2 x 3 x 13 x 101 x 5 x 77 x 3 x 31 = 564143580

Therefore, the lowest common multiple of 202,195,924,468,372 is 564143580.

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.

202 x 195 x 924 x 468 x 372 = 6336460690560

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.

202 : 1, 2, 101, 202

195 : 1, 3, 5, 13, 15, 39, 65, 195

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

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,195,924,468,372, is 1.

Now, the common factors can be found like this.

202:2x 101

195:3x 5x 13

924:2x 2x 3x 7x 11

468:2x 2x 3x 3x 13

372:2x 2x 3x 31

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 3x 13 = 11232

Therefore, the value for common factors is 11232.

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 = 6336460690560/(1x11232)

LCM = 6336460690560/11232

LCM = 564143580

Thus, we can understand that the LCM of 202,195,924,468,372 is 564143580.

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

• LCM of 898, 499, 880, 906, 585
• LCM of 262, 396, 663, 225, 980
• LCM of 513, 286, 164, 889, 897
• LCM of 402, 547, 893, 117, 369
• LCM of 823, 637, 128, 658, 415

1. What is the LCM of 202, 195, 924, 468, 372?

Answer: LCM of 202, 195, 924, 468, 372 is 564143580.

2. How to calculate the LCM of 202, 195, 924, 468, 372?

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 202, 195, 924, 468, 372.

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}.