Given numbers are 461,506,908,554

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

The LCM of 461,506,908,554 is 29335065628.

Find LCM of 461,506,908,554 with Prime Factorization

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

2 x 461 x 253 x 454 x 277 = 29335065628

Therefore, the lowest common multiple of 461,506,908,554 is 29335065628.

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 506 x 908 x 554 = 117340262512

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

908 : 1, 2, 4, 227, 454, 908

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,506,908,554, is 1.

Now, the common factors can be found like this.

461:461

506:2x 11x 23

908:2x 2x 227

554:2x 277

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 = 117340262512/(1x4)

LCM = 117340262512/4

LCM = 29335065628

Thus, we can understand that the LCM of 461,506,908,554 is 29335065628.

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

• LCM of 158, 998, 624, 711
• LCM of 965, 404, 696, 652
• LCM of 770, 361, 566, 219
• LCM of 310, 125, 176, 332
• LCM of 347, 699, 939, 571

1. What is the LCM of 461, 506, 908, 554?

Answer: LCM of 461, 506, 908, 554 is 29335065628.

2. How to calculate the LCM of 461, 506, 908, 554?

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, 506, 908, 554.

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}.