Given numbers are 402,344,566,693,214

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

The LCM of 402,344,566,693,214 is 483656126184.

Find LCM of 402,344,566,693,214 with Prime Factorization

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

2 x 3 x 67 x 172 x 283 x 231 x 107 = 483656126184

Therefore, the lowest common multiple of 402,344,566,693,214 is 483656126184.

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.

402 x 344 x 566 x 693 x 214 = 11607747028416

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

344 : 1, 2, 4, 8, 43, 86, 172, 344

566 : 1, 2, 283, 566

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,344,566,693,214, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

344:2x 2x 2x 43

566:2x 283

693:3x 3x 7x 11

214:2x 107

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 3 = 24

Therefore, the value for common factors is 24.

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 = 11607747028416/(1x24)

LCM = 11607747028416/24

LCM = 483656126184

Thus, we can understand that the LCM of 402,344,566,693,214 is 483656126184.

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

• LCM of 771, 141, 975, 832, 534
• LCM of 512, 541, 927, 548, 260
• LCM of 276, 701, 881, 868, 149
• LCM of 110, 494, 221, 925, 116
• LCM of 309, 474, 717, 775, 615

1. What is the LCM of 402, 344, 566, 693, 214?

Answer: LCM of 402, 344, 566, 693, 214 is 483656126184.

2. How to calculate the LCM of 402, 344, 566, 693, 214?

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 402, 344, 566, 693, 214.

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}.