Given numbers are 587,652,416,965,676

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

The LCM of 587,652,416,965,676 is 499332348320.

Find LCM of 587,652,416,965,676 with Prime Factorization

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

2 x 2 x 13 x 587 x 163 x 8 x 965 x 13 = 499332348320

Therefore, the lowest common multiple of 587,652,416,965,676 is 499332348320.

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.

587 x 652 x 416 x 965 x 676 = 103861128450560

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.

587 : 1, 587

652 : 1, 2, 4, 163, 326, 652

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

965 : 1, 5, 193, 965

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 587,652,416,965,676, is 1.

Now, the common factors can be found like this.

587:587

652:2x 2x 163

416:2x 2x 2x 2x 2x 13

965:5x 193

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 13 = 208

Therefore, the value for common factors is 208.

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 = 103861128450560/(1x208)

LCM = 103861128450560/208

LCM = 499332348320

Thus, we can understand that the LCM of 587,652,416,965,676 is 499332348320.

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

• LCM of 202, 527, 855, 397, 593
• LCM of 575, 558, 885, 440, 358
• LCM of 169, 645, 418, 321, 792
• LCM of 616, 673, 701, 411, 172
• LCM of 267, 153, 426, 763, 476

1. What is the LCM of 587, 652, 416, 965, 676?

Answer: LCM of 587, 652, 416, 965, 676 is 499332348320.

2. How to calculate the LCM of 587, 652, 416, 965, 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 587, 652, 416, 965, 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}.