Given numbers are 303,416,121,814

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

The LCM of 303,416,121,814 is 564316896.

Find LCM of 303,416,121,814 with Prime Factorization

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

2 x 11 x 303 x 208 x 11 x 37 = 564316896

Therefore, the lowest common multiple of 303,416,121,814 is 564316896.

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.

303 x 416 x 121 x 814 = 12414971712

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.

303 : 1, 3, 101, 303

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

121 : 1, 11, 121

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,416,121,814, is 1.

Now, the common factors can be found like this.

303:3x 101

416:2x 2x 2x 2x 2x 13

121:11x 11

814:2x 11x 37

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 12414971712/(1x22)

LCM = 12414971712/22

LCM = 564316896

Thus, we can understand that the LCM of 303,416,121,814 is 564316896.

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

• LCM of 978, 139, 604, 482
• LCM of 786, 633, 768, 616
• LCM of 892, 490, 744, 100
• LCM of 370, 917, 655, 364
• LCM of 437, 317, 525, 226

1. What is the LCM of 303, 416, 121, 814?

Answer: LCM of 303, 416, 121, 814 is 564316896.

2. How to calculate the LCM of 303, 416, 121, 814?

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 303, 416, 121, 814.

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}.