Given numbers are 461,366,824,638,412

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

The LCM of 461,366,824,638,412 is 22175320728.

Find LCM of 461,366,824,638,412 with Prime Factorization

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

2 x 2 x 103 x 461 x 183 x 1 x 319 x 2 = 22175320728

Therefore, the lowest common multiple of 461,366,824,638,412 is 22175320728.

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 366 x 824 x 638 x 412 = 36544928559744

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

824 : 1, 2, 4, 8, 103, 206, 412, 824

638 : 1, 2, 11, 22, 29, 58, 319, 638

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,366,824,638,412, is 1.

Now, the common factors can be found like this.

461:461

366:2x 3x 61

824:2x 2x 2x 103

638:2x 11x 29

412:2x 2x 103

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 2x 103 = 1648

Therefore, the value for common factors is 1648.

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 = 36544928559744/(1x1648)

LCM = 36544928559744/1648

LCM = 22175320728

Thus, we can understand that the LCM of 461,366,824,638,412 is 22175320728.

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

• LCM of 549, 213, 554, 662, 691
• LCM of 369, 210, 705, 550, 112
• LCM of 702, 664, 165, 409, 866
• LCM of 426, 879, 484, 826, 289
• LCM of 697, 576, 750, 632, 715

1. What is the LCM of 461, 366, 824, 638, 412?

Answer: LCM of 461, 366, 824, 638, 412 is 22175320728.

2. How to calculate the LCM of 461, 366, 824, 638, 412?

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, 366, 824, 638, 412.

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}.