Given numbers are 496,878,518,310

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

The LCM of 496,878,518,310 is 281978480.

Find LCM of 496,878,518,310 with Prime Factorization

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

2 x 31 x 8 x 439 x 259 x 5 = 281978480

Therefore, the lowest common multiple of 496,878,518,310 is 281978480.

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.

496 x 878 x 518 x 310 = 69930663040

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

878 : 1, 2, 439, 878

518 : 1, 2, 7, 14, 37, 74, 259, 518

310 : 1, 2, 5, 10, 31, 62, 155, 310

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,878,518,310, is 2.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

878:2x 439

518:2x 7x 37

310:2x 5x 31

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 31 = 124

Therefore, the value for common factors is 124.

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 = 69930663040/(2x124)

LCM = 69930663040/248

LCM = 281978480

Thus, we can understand that the LCM of 496,878,518,310 is 281978480.

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

• LCM of 488, 513, 326, 798
• LCM of 605, 659, 901, 390
• LCM of 992, 848, 674, 429
• LCM of 223, 671, 563, 944
• LCM of 563, 985, 701, 981

1. What is the LCM of 496, 878, 518, 310?

Answer: LCM of 496, 878, 518, 310 is 281978480.

2. How to calculate the LCM of 496, 878, 518, 310?

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 496, 878, 518, 310.

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}.