Given numbers are 610,730,306,960

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

The LCM of 610,730,306,960 is 218018880.

Find LCM of 610,730,306,960 with Prime Factorization

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

2 x 3 x 5 x 61 x 73 x 51 x 32 = 218018880

Therefore, the lowest common multiple of 610,730,306,960 is 218018880.

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.

610 x 730 x 306 x 960 = 130811328000

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.

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

730 : 1, 2, 5, 10, 73, 146, 365, 730

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,730,306,960, is 2.

Now, the common factors can be found like this.

610:2x 5x 61

730:2x 5x 73

306:2x 3x 3x 17

960:2x 2x 2x 2x 2x 2x 3x 5

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 130811328000/(2x300)

LCM = 130811328000/600

LCM = 218018880

Thus, we can understand that the LCM of 610,730,306,960 is 218018880.

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

• LCM of 897, 116, 705, 256
• LCM of 717, 218, 992, 231
• LCM of 353, 672, 962, 879
• LCM of 158, 962, 399, 309
• LCM of 108, 461, 170, 783

1. What is the LCM of 610, 730, 306, 960?

Answer: LCM of 610, 730, 306, 960 is 218018880.

2. How to calculate the LCM of 610, 730, 306, 960?

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 610, 730, 306, 960.

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}.