Given numbers are 494,682,461,916

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

The LCM of 494,682,461,916 is 35567040652.

Find LCM of 494,682,461,916 with Prime Factorization

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

2 x 247 x 341 x 461 x 458 = 35567040652

Therefore, the lowest common multiple of 494,682,461,916 is 35567040652.

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.

494 x 682 x 461 x 916 = 142268162608

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

682 : 1, 2, 11, 22, 31, 62, 341, 682

461 : 1, 461

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,682,461,916, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

682:2x 11x 31

461:461

916:2x 2x 229

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 = 142268162608/(1x4)

LCM = 142268162608/4

LCM = 35567040652

Thus, we can understand that the LCM of 494,682,461,916 is 35567040652.

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

• LCM of 359, 245, 439, 503
• LCM of 189, 504, 395, 336
• LCM of 453, 842, 707, 493
• LCM of 932, 330, 708, 516
• LCM of 532, 166, 303, 377

1. What is the LCM of 494, 682, 461, 916?

Answer: LCM of 494, 682, 461, 916 is 35567040652.

2. How to calculate the LCM of 494, 682, 461, 916?

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 494, 682, 461, 916.

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}.