Given numbers are 402,320,400,292,306

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

The LCM of 402,320,400,292,306 is 1197316800.

Find LCM of 402,320,400,292,306 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 67 x 4 x 5 x 73 x 51 = 1197316800

Therefore, the lowest common multiple of 402,320,400,292,306 is 1197316800.

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 320 x 400 x 292 x 306 = 4597696512000

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

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

292 : 1, 2, 4, 73, 146, 292

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,320,400,292,306, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

320:2x 2x 2x 2x 2x 2x 5

400:2x 2x 2x 2x 5x 5

292:2x 2x 73

306:2x 3x 3x 17

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 2x 2x 2x 2x 3x 5 = 1920

Therefore, the value for common factors is 1920.

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 = 4597696512000/(2x1920)

LCM = 4597696512000/3840

LCM = 1197316800

Thus, we can understand that the LCM of 402,320,400,292,306 is 1197316800.

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

• LCM of 978, 399, 538, 756, 939
• LCM of 657, 279, 571, 978, 711
• LCM of 404, 604, 769, 385, 482
• LCM of 488, 901, 568, 447, 329
• LCM of 158, 560, 576, 427, 249

1. What is the LCM of 402, 320, 400, 292, 306?

Answer: LCM of 402, 320, 400, 292, 306 is 1197316800.

2. How to calculate the LCM of 402, 320, 400, 292, 306?

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, 320, 400, 292, 306.

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}.