Given numbers are 864,378,706,541,474

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

The LCM of 864,378,706,541,474 is 91245371616.

Find LCM of 864,378,706,541,474 with Prime Factorization

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

2 x 3 x 3 x 3 x 16 x 7 x 353 x 541 x 79 = 91245371616

Therefore, the lowest common multiple of 864,378,706,541,474 is 91245371616.

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 378 x 706 x 541 x 474 = 59127000807168

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

706 : 1, 2, 353, 706

541 : 1, 541

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,378,706,541,474, is 1.

Now, the common factors can be found like this.

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

378:2x 3x 3x 3x 7

706:2x 353

541:541

474:2x 3x 79

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 59127000807168/(1x648)

LCM = 59127000807168/648

LCM = 91245371616

Thus, we can understand that the LCM of 864,378,706,541,474 is 91245371616.

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

• LCM of 357, 165, 182, 442, 365
• LCM of 989, 647, 933, 822, 125
• LCM of 473, 959, 375, 217, 285
• LCM of 422, 935, 165, 616, 854
• LCM of 416, 836, 378, 603, 608

1. What is the LCM of 864, 378, 706, 541, 474?

Answer: LCM of 864, 378, 706, 541, 474 is 91245371616.

2. How to calculate the LCM of 864, 378, 706, 541, 474?

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, 378, 706, 541, 474.

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}.