Given numbers are 213,730,214,340

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

The LCM of 213,730,214,340 is 565672620.

Find LCM of 213,730,214,340 with Prime Factorization

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

2 x 5 x 213 x 73 x 107 x 34 = 565672620

Therefore, the lowest common multiple of 213,730,214,340 is 565672620.

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.

213 x 730 x 214 x 340 = 11313452400

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.

213 : 1, 3, 71, 213

730 : 1, 2, 5, 10, 73, 146, 365, 730

214 : 1, 2, 107, 214

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,730,214,340, is 1.

Now, the common factors can be found like this.

213:3x 71

730:2x 5x 73

214:2x 107

340:2x 2x 5x 17

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 5 = 20

Therefore, the value for common factors is 20.

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 = 11313452400/(1x20)

LCM = 11313452400/20

LCM = 565672620

Thus, we can understand that the LCM of 213,730,214,340 is 565672620.

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

• LCM of 254, 546, 293, 145
• LCM of 416, 647, 634, 463
• LCM of 647, 500, 277, 726
• LCM of 829, 836, 611, 342
• LCM of 643, 174, 830, 807

1. What is the LCM of 213, 730, 214, 340?

Answer: LCM of 213, 730, 214, 340 is 565672620.

2. How to calculate the LCM of 213, 730, 214, 340?

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 213, 730, 214, 340.

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}.