Given numbers are 461,714,810,214

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

The LCM of 461,714,810,214 is 4754629530.

Find LCM of 461,714,810,214 with Prime Factorization

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

2 x 3 x 461 x 119 x 135 x 107 = 4754629530

Therefore, the lowest common multiple of 461,714,810,214 is 4754629530.

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 714 x 810 x 214 = 57055554360

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

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,714,810,214, is 1.

Now, the common factors can be found like this.

461:461

714:2x 3x 7x 17

810:2x 3x 3x 3x 3x 5

214:2x 107

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 3 = 12

Therefore, the value for common factors is 12.

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 = 57055554360/(1x12)

LCM = 57055554360/12

LCM = 4754629530

Thus, we can understand that the LCM of 461,714,810,214 is 4754629530.

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

• LCM of 809, 423, 313, 401
• LCM of 581, 669, 871, 574
• LCM of 749, 409, 384, 114
• LCM of 515, 559, 295, 115
• LCM of 440, 756, 878, 510

1. What is the LCM of 461, 714, 810, 214?

Answer: LCM of 461, 714, 810, 214 is 4754629530.

2. How to calculate the LCM of 461, 714, 810, 214?

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, 714, 810, 214.

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}.