Given numbers are 230,940,750,312

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

The LCM of 230,940,750,312 is 42159000.

Find LCM of 230,940,750,312 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 47 x 25 x 26 = 42159000

Therefore, the lowest common multiple of 230,940,750,312 is 42159000.

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.

230 x 940 x 750 x 312 = 50590800000

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 230,940,750,312, is 2.

Now, the common factors can be found like this.

230:2x 5x 23

940:2x 2x 5x 47

750:2x 3x 5x 5x 5

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.

2x 2x 2x 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 50590800000/(2x600)

LCM = 50590800000/1200

LCM = 42159000

Thus, we can understand that the LCM of 230,940,750,312 is 42159000.

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

• LCM of 849, 230, 983, 954
• LCM of 443, 337, 182, 780
• LCM of 874, 909, 291, 550
• LCM of 288, 705, 116, 907
• LCM of 396, 251, 868, 985

1. What is the LCM of 230, 940, 750, 312?

Answer: LCM of 230, 940, 750, 312 is 42159000.

2. How to calculate the LCM of 230, 940, 750, 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 230, 940, 750, 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}.