Given numbers are 312,930,349,242,262

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

The LCM of 312,930,349,242,262 is 267527471640.

Find LCM of 312,930,349,242,262 with Prime Factorization

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

2 x 3 x 52 x 155 x 349 x 121 x 131 = 267527471640

Therefore, the lowest common multiple of 312,930,349,242,262 is 267527471640.

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.

312 x 930 x 349 x 242 x 262 = 6420659319360

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

349 : 1, 349

242 : 1, 2, 11, 22, 121, 242

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,930,349,242,262, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

930:2x 3x 5x 31

349:349

242:2x 11x 11

262:2x 131

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 6420659319360/(1x24)

LCM = 6420659319360/24

LCM = 267527471640

Thus, we can understand that the LCM of 312,930,349,242,262 is 267527471640.

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

• LCM of 595, 307, 429, 383, 924
• LCM of 560, 377, 363, 573, 459
• LCM of 301, 225, 685, 945, 984
• LCM of 758, 649, 743, 686, 634
• LCM of 633, 629, 148, 657, 171

1. What is the LCM of 312, 930, 349, 242, 262?

Answer: LCM of 312, 930, 349, 242, 262 is 267527471640.

2. How to calculate the LCM of 312, 930, 349, 242, 262?

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 312, 930, 349, 242, 262.

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}.