Given numbers are 864,473,438,708,774

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

The LCM of 864,473,438,708,774 is 1760150304.

Find LCM of 864,473,438,708,774 with Prime Factorization

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

2 x 2 x 3 x 3 x 43 x 24 x 11 x 73 x 59 x 1 = 1760150304

Therefore, the lowest common multiple of 864,473,438,708,774 is 1760150304.

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.

864 x 473 x 438 x 708 x 774 = 98089656141312

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.

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

473 : 1, 11, 43, 473

438 : 1, 2, 3, 6, 73, 146, 219, 438

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,473,438,708,774, is 1.

Now, the common factors can be found like this.

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

473:11x 43

438:2x 3x 73

708:2x 2x 3x 59

774:2x 3x 3x 43

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 3x 3x 3x 3x 43 = 55728

Therefore, the value for common factors is 55728.

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 = 98089656141312/(1x55728)

LCM = 98089656141312/55728

LCM = 1760150304

Thus, we can understand that the LCM of 864,473,438,708,774 is 1760150304.

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

• LCM of 300, 514, 744, 469, 820
• LCM of 901, 866, 103, 499, 324
• LCM of 860, 197, 273, 424, 547
• LCM of 251, 733, 745, 781, 601
• LCM of 799, 388, 967, 258, 350

1. What is the LCM of 864, 473, 438, 708, 774?

Answer: LCM of 864, 473, 438, 708, 774 is 1760150304.

2. How to calculate the LCM of 864, 473, 438, 708, 774?

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 864, 473, 438, 708, 774.

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}.