Given numbers are 518,610,312

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

The LCM of 518,610,312 is 24646440.

Find LCM of 518,610,312 with Prime Factorization

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

2 x 259 x 305 x 156 = 24646440

Therefore, the lowest common multiple of 518,610,312 is 24646440.

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.

518 x 610 x 312 = 98585760

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.

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,610,312, is 2.

Now, the common factors can be found like this.

518:2x 7x 37

610:2x 5x 61

312:2x 2x 2x 3x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 98585760/(2x2)

LCM = 98585760/4

LCM = 24646440

Thus, we can understand that the LCM of 518,610,312 is 24646440.

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

• LCM of 610, 705, 839
• LCM of 414, 477, 979
• LCM of 962, 883, 949
• LCM of 658, 459, 637
• LCM of 476, 912, 512

1. What is the LCM of 518, 610, 312?

Answer: LCM of 518, 610, 312 is 24646440.

2. How to calculate the LCM of 518, 610, 312?

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 518, 610, 312.

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}.