Given numbers are 350,762,414,864

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

The LCM of 350,762,414,864 is 441655200.

Find LCM of 350,762,414,864 with Prime Factorization

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

2 x 3 x 3 x 175 x 127 x 23 x 48 = 441655200

Therefore, the lowest common multiple of 350,762,414,864 is 441655200.

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.

350 x 762 x 414 x 864 = 95397523200

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

762 : 1, 2, 3, 6, 127, 254, 381, 762

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,762,414,864, is 2.

Now, the common factors can be found like this.

350:2x 5x 5x 7

762:2x 3x 127

414:2x 3x 3x 23

864:2x 2x 2x 2x 2x 3x 3x 3

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 95397523200/(2x108)

LCM = 95397523200/216

LCM = 441655200

Thus, we can understand that the LCM of 350,762,414,864 is 441655200.

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

• LCM of 794, 309, 807, 153
• LCM of 724, 164, 680, 299
• LCM of 759, 586, 133, 324
• LCM of 183, 595, 622, 302
• LCM of 740, 931, 360, 976

1. What is the LCM of 350, 762, 414, 864?

Answer: LCM of 350, 762, 414, 864 is 441655200.

2. How to calculate the LCM of 350, 762, 414, 864?

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 350, 762, 414, 864.

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}.