Given numbers are 282,238,746,302

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

The LCM of 282,238,746,302 is 1890087234.

Find LCM of 282,238,746,302 with Prime Factorization

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

2 x 141 x 119 x 373 x 151 = 1890087234

Therefore, the lowest common multiple of 282,238,746,302 is 1890087234.

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 238 x 746 x 302 = 15120697872

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

238 : 1, 2, 7, 14, 17, 34, 119, 238

746 : 1, 2, 373, 746

302 : 1, 2, 151, 302

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,238,746,302, is 2.

Now, the common factors can be found like this.

282:2x 3x 47

238:2x 7x 17

746:2x 373

302:2x 151

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15120697872/(2x4)

LCM = 15120697872/8

LCM = 1890087234

Thus, we can understand that the LCM of 282,238,746,302 is 1890087234.

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

• LCM of 245, 118, 250, 208
• LCM of 501, 257, 921, 467
• LCM of 857, 952, 914, 734
• LCM of 729, 209, 784, 934
• LCM of 446, 815, 226, 419

1. What is the LCM of 282, 238, 746, 302?

Answer: LCM of 282, 238, 746, 302 is 1890087234.

2. How to calculate the LCM of 282, 238, 746, 302?

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, 238, 746, 302.

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}.