Given numbers are 214,442,438,569

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

The LCM of 214,442,438,569 is 5893352634.

Find LCM of 214,442,438,569 with Prime Factorization

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

2 x 107 x 221 x 219 x 569 = 5893352634

Therefore, the lowest common multiple of 214,442,438,569 is 5893352634.

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.

214 x 442 x 438 x 569 = 23573410536

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.

214 : 1, 2, 107, 214

442 : 1, 2, 13, 17, 26, 34, 221, 442

438 : 1, 2, 3, 6, 73, 146, 219, 438

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,442,438,569, is 1.

Now, the common factors can be found like this.

214:2x 107

442:2x 13x 17

438:2x 3x 73

569:569

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 23573410536/(1x4)

LCM = 23573410536/4

LCM = 5893352634

Thus, we can understand that the LCM of 214,442,438,569 is 5893352634.

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

• LCM of 624, 494, 993, 261
• LCM of 680, 648, 815, 390
• LCM of 422, 289, 170, 932
• LCM of 688, 973, 315, 441
• LCM of 241, 410, 822, 546

1. What is the LCM of 214, 442, 438, 569?

Answer: LCM of 214, 442, 438, 569 is 5893352634.

2. How to calculate the LCM of 214, 442, 438, 569?

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 214, 442, 438, 569.

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}.