Given numbers are 509,404,822,548

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

The LCM of 509,404,822,548 is 84516396.

Find LCM of 509,404,822,548 with Prime Factorization

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

2 x 2 x 137 x 509 x 101 x 3 x 1 = 84516396

Therefore, the lowest common multiple of 509,404,822,548 is 84516396.

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.

509 x 404 x 822 x 548 = 92629970016

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.

509 : 1, 509

404 : 1, 2, 4, 101, 202, 404

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

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,404,822,548, is 1.

Now, the common factors can be found like this.

509:509

404:2x 2x 101

822:2x 3x 137

548:2x 2x 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 2x 2x 137 = 1096

Therefore, the value for common factors is 1096.

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 = 92629970016/(1x1096)

LCM = 92629970016/1096

LCM = 84516396

Thus, we can understand that the LCM of 509,404,822,548 is 84516396.

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

• LCM of 793, 519, 930, 237
• LCM of 598, 780, 439, 824
• LCM of 621, 672, 500, 639
• LCM of 208, 977, 606, 806
• LCM of 884, 824, 351, 913

1. What is the LCM of 509, 404, 822, 548?

Answer: LCM of 509, 404, 822, 548 is 84516396.

2. How to calculate the LCM of 509, 404, 822, 548?

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 509, 404, 822, 548.

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}.