Given numbers are 746,457,460,998

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

The LCM of 746,457,460,998 is 39127617940.

Find LCM of 746,457,460,998 with Prime Factorization

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

2 x 373 x 457 x 230 x 499 = 39127617940

Therefore, the lowest common multiple of 746,457,460,998 is 39127617940.

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.

746 x 457 x 460 x 998 = 156510471760

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.

746 : 1, 2, 373, 746

457 : 1, 457

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,457,460,998, is 1.

Now, the common factors can be found like this.

746:2x 373

457:457

460:2x 2x 5x 23

998:2x 499

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 156510471760/(1x4)

LCM = 156510471760/4

LCM = 39127617940

Thus, we can understand that the LCM of 746,457,460,998 is 39127617940.

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

• LCM of 100, 535, 742, 299
• LCM of 959, 859, 197, 295
• LCM of 487, 939, 893, 884
• LCM of 640, 510, 107, 806
• LCM of 437, 916, 417, 595

1. What is the LCM of 746, 457, 460, 998?

Answer: LCM of 746, 457, 460, 998 is 39127617940.

2. How to calculate the LCM of 746, 457, 460, 998?

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 746, 457, 460, 998.

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}.