Given numbers are 320,552,299,420

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

The LCM of 320,552,299,420 is 2009280.

Find LCM of 320,552,299,420 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 8 x 1 x 13 x 7 = 2009280

Therefore, the lowest common multiple of 320,552,299,420 is 2009280.

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.

320 x 552 x 299 x 420 = 22182451200

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.

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

299 : 1, 13, 23, 299

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,552,299,420, is 1.

Now, the common factors can be found like this.

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

552:2x 2x 2x 3x 23

299:13x 23

420:2x 2x 3x 5x 7

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 3x 5x 23 = 11040

Therefore, the value for common factors is 11040.

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 = 22182451200/(1x11040)

LCM = 22182451200/11040

LCM = 2009280

Thus, we can understand that the LCM of 320,552,299,420 is 2009280.

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

• LCM of 958, 589, 893, 345
• LCM of 956, 760, 511, 520
• LCM of 365, 241, 975, 928
• LCM of 238, 216, 340, 633
• LCM of 637, 310, 303, 493

1. What is the LCM of 320, 552, 299, 420?

Answer: LCM of 320, 552, 299, 420 is 2009280.

2. How to calculate the LCM of 320, 552, 299, 420?

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 320, 552, 299, 420.

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}.