Given numbers are 996,540,390,974

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

The LCM of 996,540,390,974 is 283755420.

Find LCM of 996,540,390,974 with Prime Factorization

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

2 x 2 x 3 x 5 x 83 x 9 x 13 x 487 = 283755420

Therefore, the lowest common multiple of 996,540,390,974 is 283755420.

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.

996 x 540 x 390 x 974 = 204303902400

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,540,390,974, is 2.

Now, the common factors can be found like this.

996:2x 2x 3x 83

540:2x 2x 3x 3x 3x 5

390:2x 3x 5x 13

974:2x 487

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 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 204303902400/(2x360)

LCM = 204303902400/720

LCM = 283755420

Thus, we can understand that the LCM of 996,540,390,974 is 283755420.

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

• LCM of 255, 646, 713, 390
• LCM of 410, 807, 490, 875
• LCM of 377, 745, 480, 500
• LCM of 590, 837, 206, 860
• LCM of 214, 772, 200, 248

1. What is the LCM of 996, 540, 390, 974?

Answer: LCM of 996, 540, 390, 974 is 283755420.

2. How to calculate the LCM of 996, 540, 390, 974?

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 996, 540, 390, 974.

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}.