Given numbers are 282,390,182,894,346

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

The LCM of 282,390,182,894,346 is 3307446870.

Find LCM of 282,390,182,894,346 with Prime Factorization

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

2 x 3 x 13 x 47 x 5 x 7 x 149 x 173 = 3307446870

Therefore, the lowest common multiple of 282,390,182,894,346 is 3307446870.

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.

282 x 390 x 182 x 894 x 346 = 6191540540640

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

894 : 1, 2, 3, 6, 149, 298, 447, 894

346 : 1, 2, 173, 346

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,390,182,894,346, is 2.

Now, the common factors can be found like this.

282:2x 3x 47

390:2x 3x 5x 13

182:2x 7x 13

894:2x 3x 149

346:2x 173

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 13 = 936

Therefore, the value for common factors is 936.

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 = 6191540540640/(2x936)

LCM = 6191540540640/1872

LCM = 3307446870

Thus, we can understand that the LCM of 282,390,182,894,346 is 3307446870.

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

• LCM of 423, 123, 300, 362, 924
• LCM of 798, 285, 935, 338, 906
• LCM of 965, 446, 357, 348, 462
• LCM of 592, 474, 627, 217, 240
• LCM of 492, 886, 553, 395, 377

1. What is the LCM of 282, 390, 182, 894, 346?

Answer: LCM of 282, 390, 182, 894, 346 is 3307446870.

2. How to calculate the LCM of 282, 390, 182, 894, 346?

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 282, 390, 182, 894, 346.

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}.