Given numbers are 504,948,616,798,746

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

The LCM of 504,948,616,798,746 is 3103935912.

Find LCM of 504,948,616,798,746 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 3 x 79 x 11 x 19 x 373 = 3103935912

Therefore, the lowest common multiple of 504,948,616,798,746 is 3103935912.

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.

504 x 948 x 616 x 798 x 746 = 175210974360576

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.

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

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

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

746 : 1, 2, 373, 746

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,948,616,798,746, is 2.

Now, the common factors can be found like this.

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

948:2x 2x 3x 79

616:2x 2x 2x 7x 11

798:2x 3x 7x 19

746:2x 373

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 2x 3x 3x 7x 7 = 28224

Therefore, the value for common factors is 28224.

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 = 175210974360576/(2x28224)

LCM = 175210974360576/56448

LCM = 3103935912

Thus, we can understand that the LCM of 504,948,616,798,746 is 3103935912.

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

• LCM of 558, 223, 508, 807, 678
• LCM of 913, 818, 490, 189, 242
• LCM of 765, 500, 221, 581, 292
• LCM of 165, 363, 749, 685, 989
• LCM of 258, 344, 736, 131, 284

1. What is the LCM of 504, 948, 616, 798, 746?

Answer: LCM of 504, 948, 616, 798, 746 is 3103935912.

2. How to calculate the LCM of 504, 948, 616, 798, 746?

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 504, 948, 616, 798, 746.

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}.