Given numbers are 461,252,470,417

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

The LCM of 461,252,470,417 is 3794758380.

Find LCM of 461,252,470,417 with Prime Factorization

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

2 x 3 x 461 x 42 x 235 x 139 = 3794758380

Therefore, the lowest common multiple of 461,252,470,417 is 3794758380.

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 252 x 470 x 417 = 22768550280

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

470 : 1, 2, 5, 10, 47, 94, 235, 470

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,252,470,417, is 1.

Now, the common factors can be found like this.

461:461

252:2x 2x 3x 3x 7

470:2x 5x 47

417:3x 139

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 22768550280/(1x6)

LCM = 22768550280/6

LCM = 3794758380

Thus, we can understand that the LCM of 461,252,470,417 is 3794758380.

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

• LCM of 616, 841, 561, 881
• LCM of 205, 210, 441, 673
• LCM of 885, 899, 533, 911
• LCM of 519, 359, 122, 282
• LCM of 468, 160, 357, 941

1. What is the LCM of 461, 252, 470, 417?

Answer: LCM of 461, 252, 470, 417 is 3794758380.

2. How to calculate the LCM of 461, 252, 470, 417?

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, 252, 470, 417.

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}.