Given numbers are 303,314,171,822

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

The LCM of 303,314,171,822 is 742963878.

Find LCM of 303,314,171,822 with Prime Factorization

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

2 x 3 x 101 x 157 x 57 x 137 = 742963878

Therefore, the lowest common multiple of 303,314,171,822 is 742963878.

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 314 x 171 x 822 = 13373349804

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

314 : 1, 2, 157, 314

171 : 1, 3, 9, 19, 57, 171

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,314,171,822, is 1.

Now, the common factors can be found like this.

303:3x 101

314:2x 157

171:3x 3x 19

822:2x 3x 137

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 13373349804/(1x18)

LCM = 13373349804/18

LCM = 742963878

Thus, we can understand that the LCM of 303,314,171,822 is 742963878.

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

• LCM of 333, 798, 560, 616
• LCM of 813, 793, 812, 997
• LCM of 626, 836, 546, 103
• LCM of 907, 463, 497, 666
• LCM of 105, 175, 733, 623

1. What is the LCM of 303, 314, 171, 822?

Answer: LCM of 303, 314, 171, 822 is 742963878.

2. How to calculate the LCM of 303, 314, 171, 822?

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, 314, 171, 822.

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}.