Given numbers are 948,738,487,456,940

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

The LCM of 948,738,487,456,940 is 507100301640.

Find LCM of 948,738,487,456,940 with Prime Factorization

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

2 x 2 x 3 x 79 x 123 x 487 x 38 x 235 = 507100301640

Therefore, the lowest common multiple of 948,738,487,456,940 is 507100301640.

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.

948 x 738 x 487 x 456 x 940 = 146044886872320

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

487 : 1, 487

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

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,738,487,456,940, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

738:2x 3x 3x 41

487:487

456:2x 2x 2x 3x 19

940:2x 2x 5x 47

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 = 146044886872320/(1x288)

LCM = 146044886872320/288

LCM = 507100301640

Thus, we can understand that the LCM of 948,738,487,456,940 is 507100301640.

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

• LCM of 552, 691, 463, 795, 461
• LCM of 126, 369, 173, 377, 489
• LCM of 794, 635, 107, 869, 642
• LCM of 265, 438, 287, 806, 266
• LCM of 612, 828, 584, 862, 596

1. What is the LCM of 948, 738, 487, 456, 940?

Answer: LCM of 948, 738, 487, 456, 940 is 507100301640.

2. How to calculate the LCM of 948, 738, 487, 456, 940?

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 948, 738, 487, 456, 940.

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}.