Given numbers are 894,528,693,589,108

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

The LCM of 894,528,693,589,108 is 2919281904.

Find LCM of 894,528,693,589,108 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 149 x 4 x 7 x 589 x 3 = 2919281904

Therefore, the lowest common multiple of 894,528,693,589,108 is 2919281904.

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.

894 x 528 x 693 x 589 x 108 = 20808641411712

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

589 : 1, 19, 31, 589

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,528,693,589,108, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

528:2x 2x 2x 2x 3x 11

693:3x 3x 7x 11

589:19x 31

108:2x 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 2x 3x 3x 3x 3x 11 = 7128

Therefore, the value for common factors is 7128.

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 = 20808641411712/(1x7128)

LCM = 20808641411712/7128

LCM = 2919281904

Thus, we can understand that the LCM of 894,528,693,589,108 is 2919281904.

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

• LCM of 545, 479, 773, 684, 809
• LCM of 847, 359, 121, 546, 245
• LCM of 970, 882, 661, 640, 227
• LCM of 722, 690, 188, 167, 697
• LCM of 153, 188, 315, 991, 896

1. What is the LCM of 894, 528, 693, 589, 108?

Answer: LCM of 894, 528, 693, 589, 108 is 2919281904.

2. How to calculate the LCM of 894, 528, 693, 589, 108?

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 894, 528, 693, 589, 108.

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}.