Given numbers are 213,583,345,575,930

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

The LCM of 213,583,345,575,930 is 4426981350.

Find LCM of 213,583,345,575,930 with Prime Factorization

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

3 x 5 x 23 x 71 x 583 x 1 x 5 x 62 = 4426981350

Therefore, the lowest common multiple of 213,583,345,575,930 is 4426981350.

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 583 x 345 x 575 x 930 = 22909628486250

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

583 : 1, 11, 53, 583

345 : 1, 3, 5, 15, 23, 69, 115, 345

575 : 1, 5, 23, 25, 115, 575

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,583,345,575,930, is 1.

Now, the common factors can be found like this.

213:3x 71

583:11x 53

345:3x 5x 23

575:5x 5x 23

930:2x 3x 5x 31

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

3x 3x 5x 5x 23 = 5175

Therefore, the value for common factors is 5175.

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 = 22909628486250/(1x5175)

LCM = 22909628486250/5175

LCM = 4426981350

Thus, we can understand that the LCM of 213,583,345,575,930 is 4426981350.

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

• LCM of 924, 297, 214, 519, 595
• LCM of 863, 224, 489, 233, 848
• LCM of 378, 387, 748, 984, 218
• LCM of 819, 623, 484, 277, 695
• LCM of 922, 716, 986, 711, 344

1. What is the LCM of 213, 583, 345, 575, 930?

Answer: LCM of 213, 583, 345, 575, 930 is 4426981350.

2. How to calculate the LCM of 213, 583, 345, 575, 930?

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, 583, 345, 575, 930.

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}.