Given numbers are 402,431,420,414,683

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

The LCM of 402,431,420,414,683 is 571572279180.

Find LCM of 402,431,420,414,683 with Prime Factorization

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

2 x 3 x 67 x 431 x 70 x 69 x 683 = 571572279180

Therefore, the lowest common multiple of 402,431,420,414,683 is 571572279180.

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 431 x 420 x 414 x 683 = 20576602050480

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

431 : 1, 431

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

683 : 1, 683

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,431,420,414,683, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

431:431

420:2x 2x 3x 5x 7

414:2x 3x 3x 23

683:683

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 20576602050480/(1x36)

LCM = 20576602050480/36

LCM = 571572279180

Thus, we can understand that the LCM of 402,431,420,414,683 is 571572279180.

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

• LCM of 858, 930, 643, 500, 479
• LCM of 168, 245, 978, 240, 667
• LCM of 547, 636, 909, 916, 882
• LCM of 313, 687, 746, 271, 483
• LCM of 775, 577, 886, 253, 704

1. What is the LCM of 402, 431, 420, 414, 683?

Answer: LCM of 402, 431, 420, 414, 683 is 571572279180.

2. How to calculate the LCM of 402, 431, 420, 414, 683?

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, 431, 420, 414, 683.

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}.