Given numbers are 312,290,770,197,676

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

The LCM of 312,290,770,197,676 is 8921192280.

Find LCM of 312,290,770,197,676 with Prime Factorization

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

2 x 2 x 5 x 13 x 6 x 29 x 77 x 197 x 13 = 8921192280

Therefore, the lowest common multiple of 312,290,770,197,676 is 8921192280.

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 290 x 770 x 197 x 676 = 9278039971200

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

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

197 : 1, 197

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,290,770,197,676, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

290:2x 5x 29

770:2x 5x 7x 11

197:197

676:2x 2x 13x 13

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 2x 5x 13 = 1040

Therefore, the value for common factors is 1040.

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 = 9278039971200/(1x1040)

LCM = 9278039971200/1040

LCM = 8921192280

Thus, we can understand that the LCM of 312,290,770,197,676 is 8921192280.

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

• LCM of 772, 481, 362, 773, 136
• LCM of 663, 454, 725, 346, 535
• LCM of 934, 298, 982, 987, 279
• LCM of 433, 466, 728, 927, 487
• LCM of 782, 946, 397, 734, 713

1. What is the LCM of 312, 290, 770, 197, 676?

Answer: LCM of 312, 290, 770, 197, 676 is 8921192280.

2. How to calculate the LCM of 312, 290, 770, 197, 676?

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, 290, 770, 197, 676.

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}.