Given numbers are 413,745,746,676

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

The LCM of 413,745,746,676 is 77582157380.

Find LCM of 413,745,746,676 with Prime Factorization

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

2 x 413 x 745 x 373 x 338 = 77582157380

Therefore, the lowest common multiple of 413,745,746,676 is 77582157380.

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.

413 x 745 x 746 x 676 = 155164314760

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.

413 : 1, 7, 59, 413

745 : 1, 5, 149, 745

746 : 1, 2, 373, 746

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 413,745,746,676, is 1.

Now, the common factors can be found like this.

413:7x 59

745:5x 149

746:2x 373

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 155164314760/(1x2)

LCM = 155164314760/2

LCM = 77582157380

Thus, we can understand that the LCM of 413,745,746,676 is 77582157380.

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

• LCM of 613, 419, 754, 809
• LCM of 188, 369, 274, 549
• LCM of 935, 991, 260, 576
• LCM of 823, 452, 893, 985
• LCM of 885, 326, 609, 370

1. What is the LCM of 413, 745, 746, 676?

Answer: LCM of 413, 745, 746, 676 is 77582157380.

2. How to calculate the LCM of 413, 745, 746, 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 413, 745, 746, 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}.