Given numbers are 391,249,270,125,480

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

The LCM of 391,249,270,125,480 is 3504924000.

Find LCM of 391,249,270,125,480 with Prime Factorization

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

2 x 3 x 5 x 391 x 83 x 9 x 25 x 16 = 3504924000

Therefore, the lowest common multiple of 391,249,270,125,480 is 3504924000.

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.

391 x 249 x 270 x 125 x 480 = 1577215800000

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.

391 : 1, 17, 23, 391

249 : 1, 3, 83, 249

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

125 : 1, 5, 25, 125

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,249,270,125,480, is 1.

Now, the common factors can be found like this.

391:17x 23

249:3x 83

270:2x 3x 3x 3x 5

125:5x 5x 5

480:2x 2x 2x 2x 2x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 1577215800000/(1x450)

LCM = 1577215800000/450

LCM = 3504924000

Thus, we can understand that the LCM of 391,249,270,125,480 is 3504924000.

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

• LCM of 129, 657, 606, 601, 735
• LCM of 836, 611, 789, 525, 276
• LCM of 794, 264, 788, 672, 199
• LCM of 722, 240, 332, 329, 649
• LCM of 273, 131, 749, 442, 999

1. What is the LCM of 391, 249, 270, 125, 480?

Answer: LCM of 391, 249, 270, 125, 480 is 3504924000.

2. How to calculate the LCM of 391, 249, 270, 125, 480?

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 391, 249, 270, 125, 480.

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}.