Given numbers are 354,269,924,579

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

The LCM of 354,269,924,579 is 2830307172.

Find LCM of 354,269,924,579 with Prime Factorization

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

2 x 3 x 59 x 269 x 154 x 193 = 2830307172

Therefore, the lowest common multiple of 354,269,924,579 is 2830307172.

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.

354 x 269 x 924 x 579 = 50945529096

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

269 : 1, 269

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

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,269,924,579, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

269:269

924:2x 2x 3x 7x 11

579:3x 193

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 50945529096/(1x18)

LCM = 50945529096/18

LCM = 2830307172

Thus, we can understand that the LCM of 354,269,924,579 is 2830307172.

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

• LCM of 780, 673, 920, 186
• LCM of 351, 934, 562, 727
• LCM of 713, 655, 488, 853
• LCM of 983, 309, 863, 440
• LCM of 180, 125, 515, 452

1. What is the LCM of 354, 269, 924, 579?

Answer: LCM of 354, 269, 924, 579 is 2830307172.

2. How to calculate the LCM of 354, 269, 924, 579?

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 354, 269, 924, 579.

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}.