Given numbers are 676,364,306,949

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

The LCM of 676,364,306,949 is 52851708.

Find LCM of 676,364,306,949 with Prime Factorization

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

2 x 2 x 13 x 13 x 7 x 153 x 73 = 52851708

Therefore, the lowest common multiple of 676,364,306,949 is 52851708.

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.

676 x 364 x 306 x 949 = 71455509216

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.

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,364,306,949, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

364:2x 2x 7x 13

306:2x 3x 3x 17

949:13x 73

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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 71455509216/(1x1352)

LCM = 71455509216/1352

LCM = 52851708

Thus, we can understand that the LCM of 676,364,306,949 is 52851708.

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

• LCM of 592, 683, 846, 546
• LCM of 923, 287, 231, 231
• LCM of 743, 555, 267, 910
• LCM of 382, 429, 437, 530
• LCM of 845, 687, 965, 274

1. What is the LCM of 676, 364, 306, 949?

Answer: LCM of 676, 364, 306, 949 is 52851708.

2. How to calculate the LCM of 676, 364, 306, 949?

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 676, 364, 306, 949.

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}.