Given numbers are 192,730,480,364

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

The LCM of 192,730,480,364 is 6377280.

Find LCM of 192,730,480,364 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 2 x 73 x 1 x 91 = 6377280

Therefore, the lowest common multiple of 192,730,480,364 is 6377280.

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.

192 x 730 x 480 x 364 = 24488755200

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

730 : 1, 2, 5, 10, 73, 146, 365, 730

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,730,480,364, is 2.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

730:2x 5x 73

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

364:2x 2x 7x 13

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 = 24488755200/(2x1920)

LCM = 24488755200/3840

LCM = 6377280

Thus, we can understand that the LCM of 192,730,480,364 is 6377280.

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

• LCM of 499, 655, 941, 393
• LCM of 517, 494, 153, 789
• LCM of 968, 393, 867, 775
• LCM of 490, 274, 957, 941
• LCM of 382, 734, 298, 510

1. What is the LCM of 192, 730, 480, 364?

Answer: LCM of 192, 730, 480, 364 is 6377280.

2. How to calculate the LCM of 192, 730, 480, 364?

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 192, 730, 480, 364.

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}.