Given numbers are 867,324,545,466,672

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

The LCM of 867,324,545,466,672 is 665860577760.

Find LCM of 867,324,545,466,672 with Prime Factorization

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

2 x 2 x 3 x 289 x 27 x 545 x 233 x 56 = 665860577760

Therefore, the lowest common multiple of 867,324,545,466,672 is 665860577760.

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.

867 x 324 x 545 x 466 x 672 = 47941961598720

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.

867 : 1, 3, 17, 51, 289, 867

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

545 : 1, 5, 109, 545

466 : 1, 2, 233, 466

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,324,545,466,672, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

324:2x 2x 3x 3x 3x 3

545:5x 109

466:2x 233

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

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 3 = 72

Therefore, the value for common factors is 72.

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 = 47941961598720/(1x72)

LCM = 47941961598720/72

LCM = 665860577760

Thus, we can understand that the LCM of 867,324,545,466,672 is 665860577760.

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

• LCM of 886, 319, 718, 564, 980
• LCM of 899, 623, 593, 405, 926
• LCM of 493, 811, 400, 695, 709
• LCM of 517, 350, 752, 938, 901
• LCM of 708, 963, 784, 570, 470

1. What is the LCM of 867, 324, 545, 466, 672?

Answer: LCM of 867, 324, 545, 466, 672 is 665860577760.

2. How to calculate the LCM of 867, 324, 545, 466, 672?

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 867, 324, 545, 466, 672.

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}.