Given numbers are 924,305,429,297,249

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

The LCM of 924,305,429,297,249 is 2736754020.

Find LCM of 924,305,429,297,249 with Prime Factorization

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

3 x 11 x 28 x 305 x 13 x 9 x 83 = 2736754020

Therefore, the lowest common multiple of 924,305,429,297,249 is 2736754020.

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.

924 x 305 x 429 x 297 x 249 = 8940975383340

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.

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

305 : 1, 5, 61, 305

429 : 1, 3, 11, 13, 33, 39, 143, 429

297 : 1, 3, 9, 11, 27, 33, 99, 297

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,305,429,297,249, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

305:5x 61

429:3x 11x 13

297:3x 3x 3x 11

249:3x 83

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

3x 3x 3x 11x 11 = 3267

Therefore, the value for common factors is 3267.

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 = 8940975383340/(1x3267)

LCM = 8940975383340/3267

LCM = 2736754020

Thus, we can understand that the LCM of 924,305,429,297,249 is 2736754020.

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

• LCM of 250, 897, 276, 289, 303
• LCM of 247, 956, 887, 456, 482
• LCM of 879, 157, 392, 274, 375
• LCM of 895, 432, 897, 490, 976
• LCM of 896, 603, 112, 702, 425

1. What is the LCM of 924, 305, 429, 297, 249?

Answer: LCM of 924, 305, 429, 297, 249 is 2736754020.

2. How to calculate the LCM of 924, 305, 429, 297, 249?

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 924, 305, 429, 297, 249.

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}.