Given numbers are 390,360,962,381

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

The LCM of 390,360,962,381 is 21991320.

Find LCM of 390,360,962,381 with Prime Factorization

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

2 x 3 x 5 x 13 x 1 x 12 x 37 x 127 = 21991320

Therefore, the lowest common multiple of 390,360,962,381 is 21991320.

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.

390 x 360 x 962 x 381 = 51459688800

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

962 : 1, 2, 13, 26, 37, 74, 481, 962

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,360,962,381, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

360:2x 2x 2x 3x 3x 5

962:2x 13x 37

381:3x 127

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 3x 5x 13 = 2340

Therefore, the value for common factors is 2340.

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 = 51459688800/(1x2340)

LCM = 51459688800/2340

LCM = 21991320

Thus, we can understand that the LCM of 390,360,962,381 is 21991320.

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

• LCM of 967, 358, 810, 791
• LCM of 655, 199, 760, 460
• LCM of 304, 463, 538, 718
• LCM of 782, 918, 861, 500
• LCM of 740, 990, 791, 380

1. What is the LCM of 390, 360, 962, 381?

Answer: LCM of 390, 360, 962, 381 is 21991320.

2. How to calculate the LCM of 390, 360, 962, 381?

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 390, 360, 962, 381.

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}.