Given numbers are 461,327,660,928,874

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

The LCM of 461,327,660,928,874 is 3362333446560.

Find LCM of 461,327,660,928,874 with Prime Factorization

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

2 x 2 x 3 x 461 x 109 x 55 x 232 x 437 = 3362333446560

Therefore, the lowest common multiple of 461,327,660,928,874 is 3362333446560.

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.

461 x 327 x 660 x 928 x 874 = 80696002717440

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.

461 : 1, 461

327 : 1, 3, 109, 327

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

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,327,660,928,874, is 1.

Now, the common factors can be found like this.

461:461

327:3x 109

660:2x 2x 3x 5x 11

928:2x 2x 2x 2x 2x 29

874:2x 19x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 80696002717440/(1x24)

LCM = 80696002717440/24

LCM = 3362333446560

Thus, we can understand that the LCM of 461,327,660,928,874 is 3362333446560.

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

• LCM of 199, 626, 651, 985, 846
• LCM of 918, 164, 700, 922, 107
• LCM of 101, 616, 848, 918, 108
• LCM of 232, 768, 226, 204, 343
• LCM of 415, 373, 195, 663, 570

1. What is the LCM of 461, 327, 660, 928, 874?

Answer: LCM of 461, 327, 660, 928, 874 is 3362333446560.

2. How to calculate the LCM of 461, 327, 660, 928, 874?

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 461, 327, 660, 928, 874.

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}.