Given numbers are 513,741,924,676

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

The LCM of 513,741,924,676 is 26702676.

Find LCM of 513,741,924,676 with Prime Factorization

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

2 x 2 x 3 x 13 x 19 x 9 x 1 x 77 x 13 = 26702676

Therefore, the lowest common multiple of 513,741,924,676 is 26702676.

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.

513 x 741 x 924 x 676 = 237440194992

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

741 : 1, 3, 13, 19, 39, 57, 247, 741

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

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 513,741,924,676, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

741:3x 13x 19

924:2x 2x 3x 7x 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 3x 3x 13x 19 = 8892

Therefore, the value for common factors is 8892.

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 = 237440194992/(1x8892)

LCM = 237440194992/8892

LCM = 26702676

Thus, we can understand that the LCM of 513,741,924,676 is 26702676.

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

• LCM of 367, 532, 768, 942
• LCM of 289, 296, 469, 288
• LCM of 136, 629, 185, 602
• LCM of 945, 815, 751, 600
• LCM of 154, 111, 967, 492

1. What is the LCM of 513, 741, 924, 676?

Answer: LCM of 513, 741, 924, 676 is 26702676.

2. How to calculate the LCM of 513, 741, 924, 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 513, 741, 924, 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}.