Given numbers are 312,398,290,306,107

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

The LCM of 312,398,290,306,107 is 49128061320.

Find LCM of 312,398,290,306,107 with Prime Factorization

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

2 x 3 x 52 x 199 x 145 x 51 x 107 = 49128061320

Therefore, the lowest common multiple of 312,398,290,306,107 is 49128061320.

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 398 x 290 x 306 x 107 = 1179073471680

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

398 : 1, 2, 199, 398

290 : 1, 2, 5, 10, 29, 58, 145, 290

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,398,290,306,107, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

398:2x 199

290:2x 5x 29

306:2x 3x 3x 17

107:107

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 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 = 1179073471680/(1x24)

LCM = 1179073471680/24

LCM = 49128061320

Thus, we can understand that the LCM of 312,398,290,306,107 is 49128061320.

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

• LCM of 466, 962, 515, 548, 203
• LCM of 701, 669, 189, 274, 201
• LCM of 223, 273, 130, 867, 606
• LCM of 148, 804, 270, 251, 374
• LCM of 951, 454, 301, 303, 193

1. What is the LCM of 312, 398, 290, 306, 107?

Answer: LCM of 312, 398, 290, 306, 107 is 49128061320.

2. How to calculate the LCM of 312, 398, 290, 306, 107?

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, 398, 290, 306, 107.

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}.