Given numbers are 364,990,299,260

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

The LCM of 364,990,299,260 is 4144140.

Find LCM of 364,990,299,260 with Prime Factorization

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

2 x 2 x 5 x 13 x 7 x 99 x 23 x 1 = 4144140

Therefore, the lowest common multiple of 364,990,299,260 is 4144140.

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.

364 x 990 x 299 x 260 = 28014386400

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

299 : 1, 13, 23, 299

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,990,299,260, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

990:2x 3x 3x 5x 11

299:13x 23

260:2x 2x 5x 13

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 5x 13x 13 = 6760

Therefore, the value for common factors is 6760.

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 = 28014386400/(1x6760)

LCM = 28014386400/6760

LCM = 4144140

Thus, we can understand that the LCM of 364,990,299,260 is 4144140.

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

• LCM of 127, 471, 754, 974
• LCM of 872, 730, 591, 531
• LCM of 983, 834, 312, 437
• LCM of 576, 893, 661, 327
• LCM of 590, 722, 499, 223

1. What is the LCM of 364, 990, 299, 260?

Answer: LCM of 364, 990, 299, 260 is 4144140.

2. How to calculate the LCM of 364, 990, 299, 260?

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 364, 990, 299, 260.

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}.