Given numbers are 676,729,364,372,924

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

The LCM of 676,729,364,372,924 is 1176323148.

Find LCM of 676,729,364,372,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 1 x 243 x 13 x 31 x 11 = 1176323148

Therefore, the lowest common multiple of 676,729,364,372,924 is 1176323148.

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 729 x 364 x 372 x 924 = 61658154125568

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

729 : 1, 3, 9, 27, 81, 243, 729

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,729,364,372,924, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

729:3x 3x 3x 3x 3x 3

364:2x 2x 7x 13

372:2x 2x 3x 31

924:2x 2x 3x 7x 11

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 3x 3x 7x 13 = 52416

Therefore, the value for common factors is 52416.

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 = 61658154125568/(1x52416)

LCM = 61658154125568/52416

LCM = 1176323148

Thus, we can understand that the LCM of 676,729,364,372,924 is 1176323148.

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

• LCM of 799, 478, 617, 321, 503
• LCM of 381, 764, 447, 307, 144
• LCM of 855, 510, 903, 173, 304
• LCM of 321, 321, 341, 737, 178
• LCM of 708, 783, 119, 318, 293

1. What is the LCM of 676, 729, 364, 372, 924?

Answer: LCM of 676, 729, 364, 372, 924 is 1176323148.

2. How to calculate the LCM of 676, 729, 364, 372, 924?

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, 729, 364, 372, 924.

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}.