Given numbers are 307,528,704,676

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

The LCM of 307,528,704,676 is 109576896.

Find LCM of 307,528,704,676 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 307 x 3 x 4 x 169 = 109576896

Therefore, the lowest common multiple of 307,528,704,676 is 109576896.

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.

307 x 528 x 704 x 676 = 77142134784

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.

307 : 1, 307

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 307,528,704,676, is 1.

Now, the common factors can be found like this.

307:307

528:2x 2x 2x 2x 3x 11

704:2x 2x 2x 2x 2x 2x 11

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 2x 2x 11 = 704

Therefore, the value for common factors is 704.

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 = 77142134784/(1x704)

LCM = 77142134784/704

LCM = 109576896

Thus, we can understand that the LCM of 307,528,704,676 is 109576896.

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

• LCM of 617, 951, 876, 974
• LCM of 321, 688, 997, 285
• LCM of 299, 200, 469, 535
• LCM of 665, 229, 753, 399
• LCM of 290, 449, 862, 592

1. What is the LCM of 307, 528, 704, 676?

Answer: LCM of 307, 528, 704, 676 is 109576896.

2. How to calculate the LCM of 307, 528, 704, 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 307, 528, 704, 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}.