Given numbers are 726,504,634,974

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

The LCM of 726,504,634,974 is 9414648936.

Find LCM of 726,504,634,974 with Prime Factorization

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

2 x 3 x 121 x 84 x 317 x 487 = 9414648936

Therefore, the lowest common multiple of 726,504,634,974 is 9414648936.

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.

726 x 504 x 634 x 974 = 225951574464

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

634 : 1, 2, 317, 634

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,504,634,974, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

504:2x 2x 2x 3x 3x 7

634:2x 317

974:2x 487

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 3 = 12

Therefore, the value for common factors is 12.

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 = 225951574464/(2x12)

LCM = 225951574464/24

LCM = 9414648936

Thus, we can understand that the LCM of 726,504,634,974 is 9414648936.

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

• LCM of 614, 933, 951, 910
• LCM of 374, 661, 196, 370
• LCM of 860, 138, 723, 478
• LCM of 697, 324, 242, 681
• LCM of 428, 274, 870, 862

1. What is the LCM of 726, 504, 634, 974?

Answer: LCM of 726, 504, 634, 974 is 9414648936.

2. How to calculate the LCM of 726, 504, 634, 974?

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 726, 504, 634, 974.

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}.