Given numbers are 483,418,210,720

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

The LCM of 483,418,210,720 is 24227280.

Find LCM of 483,418,210,720 with Prime Factorization

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

2 x 3 x 5 x 7 x 23 x 209 x 1 x 24 = 24227280

Therefore, the lowest common multiple of 483,418,210,720 is 24227280.

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.

483 x 418 x 210 x 720 = 30526372800

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.

483 : 1, 3, 7, 21, 23, 69, 161, 483

418 : 1, 2, 11, 19, 22, 38, 209, 418

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,418,210,720, is 1.

Now, the common factors can be found like this.

483:3x 7x 23

418:2x 11x 19

210:2x 3x 5x 7

720:2x 2x 2x 2x 3x 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 3x 5x 7 = 1260

Therefore, the value for common factors is 1260.

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 = 30526372800/(1x1260)

LCM = 30526372800/1260

LCM = 24227280

Thus, we can understand that the LCM of 483,418,210,720 is 24227280.

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

• LCM of 344, 796, 669, 652
• LCM of 871, 257, 441, 865
• LCM of 645, 278, 633, 140
• LCM of 337, 928, 906, 173
• LCM of 467, 971, 614, 308

1. What is the LCM of 483, 418, 210, 720?

Answer: LCM of 483, 418, 210, 720 is 24227280.

2. How to calculate the LCM of 483, 418, 210, 720?

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 483, 418, 210, 720.

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}.