Given numbers are 461,791,412,458

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

The LCM of 461,791,412,458 is 34404092548.

Find LCM of 461,791,412,458 with Prime Factorization

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

2 x 461 x 791 x 206 x 229 = 34404092548

Therefore, the lowest common multiple of 461,791,412,458 is 34404092548.

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 791 x 412 x 458 = 68808185096

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

791 : 1, 7, 113, 791

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

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,791,412,458, is 1.

Now, the common factors can be found like this.

461:461

791:7x 113

412:2x 2x 103

458:2x 229

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

2 = 2

Therefore, the value for common factors is 2.

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 = 68808185096/(1x2)

LCM = 68808185096/2

LCM = 34404092548

Thus, we can understand that the LCM of 461,791,412,458 is 34404092548.

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

• LCM of 365, 511, 535, 603
• LCM of 897, 334, 659, 297
• LCM of 978, 358, 322, 140
• LCM of 955, 441, 142, 782
• LCM of 600, 892, 571, 139

1. What is the LCM of 461, 791, 412, 458?

Answer: LCM of 461, 791, 412, 458 is 34404092548.

2. How to calculate the LCM of 461, 791, 412, 458?

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, 791, 412, 458.

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}.