Given numbers are 461,514,344,946

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

The LCM of 461,514,344,946 is 448316968.

Find LCM of 461,514,344,946 with Prime Factorization

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

2 x 43 x 461 x 257 x 4 x 11 = 448316968

Therefore, the lowest common multiple of 461,514,344,946 is 448316968.

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 514 x 344 x 946 = 77110518496

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

514 : 1, 2, 257, 514

344 : 1, 2, 4, 8, 43, 86, 172, 344

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,514,344,946, is 1.

Now, the common factors can be found like this.

461:461

514:2x 257

344:2x 2x 2x 43

946:2x 11x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 77110518496/(1x172)

LCM = 77110518496/172

LCM = 448316968

Thus, we can understand that the LCM of 461,514,344,946 is 448316968.

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

• LCM of 499, 143, 531, 420
• LCM of 375, 116, 388, 989
• LCM of 384, 512, 502, 292
• LCM of 742, 513, 389, 929
• LCM of 508, 190, 514, 919

1. What is the LCM of 461, 514, 344, 946?

Answer: LCM of 461, 514, 344, 946 is 448316968.

2. How to calculate the LCM of 461, 514, 344, 946?

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, 514, 344, 946.

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}.