Given numbers are 461,904,542,298,149

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

The LCM of 461,904,542,298,149 is 16827705976.

Find LCM of 461,904,542,298,149 with Prime Factorization

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

2 x 149 x 461 x 452 x 271 x 1 x 1 = 16827705976

Therefore, the lowest common multiple of 461,904,542,298,149 is 16827705976.

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.

461 x 904 x 542 x 298 x 149 = 10029312761696

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.

461 : 1, 461

904 : 1, 2, 4, 8, 113, 226, 452, 904

542 : 1, 2, 271, 542

298 : 1, 2, 149, 298

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,904,542,298,149, is 1.

Now, the common factors can be found like this.

461:461

904:2x 2x 2x 113

542:2x 271

298:2x 149

149:149

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 149 = 596

Therefore, the value for common factors is 596.

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 = 10029312761696/(1x596)

LCM = 10029312761696/596

LCM = 16827705976

Thus, we can understand that the LCM of 461,904,542,298,149 is 16827705976.

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

• LCM of 861, 204, 140, 369, 550
• LCM of 342, 743, 658, 828, 672
• LCM of 378, 793, 111, 371, 374
• LCM of 270, 760, 150, 801, 230
• LCM of 138, 655, 372, 466, 391

1. What is the LCM of 461, 904, 542, 298, 149?

Answer: LCM of 461, 904, 542, 298, 149 is 16827705976.

2. How to calculate the LCM of 461, 904, 542, 298, 149?

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 461, 904, 542, 298, 149.

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}.