Given numbers are 218,351,569,490

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

The LCM of 218,351,569,490 is 10666991790.

Find LCM of 218,351,569,490 with Prime Factorization

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

2 x 109 x 351 x 569 x 245 = 10666991790

Therefore, the lowest common multiple of 218,351,569,490 is 10666991790.

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.

218 x 351 x 569 x 490 = 21333983580

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.

218 : 1, 2, 109, 218

351 : 1, 3, 9, 13, 27, 39, 117, 351

569 : 1, 569

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,351,569,490, is 1.

Now, the common factors can be found like this.

218:2x 109

351:3x 3x 3x 13

569:569

490:2x 5x 7x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 21333983580/(1x2)

LCM = 21333983580/2

LCM = 10666991790

Thus, we can understand that the LCM of 218,351,569,490 is 10666991790.

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

• LCM of 755, 104, 570, 838
• LCM of 164, 707, 875, 887
• LCM of 865, 290, 402, 787
• LCM of 312, 394, 369, 176
• LCM of 969, 946, 192, 406

1. What is the LCM of 218, 351, 569, 490?

Answer: LCM of 218, 351, 569, 490 is 10666991790.

2. How to calculate the LCM of 218, 351, 569, 490?

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 218, 351, 569, 490.

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}.