Given numbers are 843,614,456,660,908

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

The LCM of 843,614,456,660,908 is 491131833720.

Find LCM of 843,614,456,660,908 with Prime Factorization

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

2 x 2 x 3 x 281 x 307 x 38 x 55 x 227 = 491131833720

Therefore, the lowest common multiple of 843,614,456,660,908 is 491131833720.

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.

843 x 614 x 456 x 660 x 908 = 141445968111360

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.

843 : 1, 3, 281, 843

614 : 1, 2, 307, 614

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

908 : 1, 2, 4, 227, 454, 908

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,614,456,660,908, is 1.

Now, the common factors can be found like this.

843:3x 281

614:2x 307

456:2x 2x 2x 3x 19

660:2x 2x 3x 5x 11

908:2x 2x 227

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 141445968111360/(1x288)

LCM = 141445968111360/288

LCM = 491131833720

Thus, we can understand that the LCM of 843,614,456,660,908 is 491131833720.

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

• LCM of 456, 896, 307, 846, 106
• LCM of 499, 170, 870, 491, 238
• LCM of 742, 706, 766, 425, 914
• LCM of 174, 549, 902, 140, 600
• LCM of 913, 550, 594, 512, 784

1. What is the LCM of 843, 614, 456, 660, 908?

Answer: LCM of 843, 614, 456, 660, 908 is 491131833720.

2. How to calculate the LCM of 843, 614, 456, 660, 908?

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 843, 614, 456, 660, 908.

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}.