Given numbers are 672,864,135,419,214

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

The LCM of 672,864,135,419,214 is 1355749920.

Find LCM of 672,864,135,419,214 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 1 x 5 x 419 x 107 = 1355749920

Therefore, the lowest common multiple of 672,864,135,419,214 is 1355749920.

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.

672 x 864 x 135 x 419 x 214 = 7028207585280

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.

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

419 : 1, 419

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,864,135,419,214, is 1.

Now, the common factors can be found like this.

672:2x 2x 2x 2x 2x 3x 7

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

135:3x 3x 3x 5

419:419

214:2x 107

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 2x 2x 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 7028207585280/(1x5184)

LCM = 7028207585280/5184

LCM = 1355749920

Thus, we can understand that the LCM of 672,864,135,419,214 is 1355749920.

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

• LCM of 351, 455, 642, 108, 270
• LCM of 701, 590, 601, 366, 975
• LCM of 546, 350, 556, 314, 748
• LCM of 763, 488, 147, 655, 292
• LCM of 794, 264, 460, 463, 187

1. What is the LCM of 672, 864, 135, 419, 214?

Answer: LCM of 672, 864, 135, 419, 214 is 1355749920.

2. How to calculate the LCM of 672, 864, 135, 419, 214?

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 672, 864, 135, 419, 214.

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}.