Given numbers are 530,830,720,210

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

The LCM of 530,830,720,210 is 22170960.

Find LCM of 530,830,720,210 with Prime Factorization

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

2 x 3 x 5 x 53 x 83 x 24 x 7 = 22170960

Therefore, the lowest common multiple of 530,830,720,210 is 22170960.

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.

530 x 830 x 720 x 210 = 66512880000

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.

530 : 1, 2, 5, 10, 53, 106, 265, 530

830 : 1, 2, 5, 10, 83, 166, 415, 830

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,830,720,210, is 10.

Now, the common factors can be found like this.

530:2x 5x 53

830:2x 5x 83

720:2x 2x 2x 2x 3x 3x 5

210:2x 3x 5x 7

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 = 66512880000/(10x300)

LCM = 66512880000/3000

LCM = 22170960

Thus, we can understand that the LCM of 530,830,720,210 is 22170960.

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

• LCM of 996, 135, 421, 205
• LCM of 632, 291, 518, 630
• LCM of 635, 246, 295, 196
• LCM of 993, 235, 850, 285
• LCM of 527, 407, 910, 333

1. What is the LCM of 530, 830, 720, 210?

Answer: LCM of 530, 830, 720, 210 is 22170960.

2. How to calculate the LCM of 530, 830, 720, 210?

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 530, 830, 720, 210.

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}.