Given numbers are 676,702,491,416

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

The LCM of 676,702,491,416 is 71693856.

Find LCM of 676,702,491,416 with Prime Factorization

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

2 x 2 x 13 x 13 x 27 x 491 x 8 = 71693856

Therefore, the lowest common multiple of 676,702,491,416 is 71693856.

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 702 x 491 x 416 = 96930093312

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

491 : 1, 491

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,702,491,416, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

702:2x 3x 3x 3x 13

491:491

416:2x 2x 2x 2x 2x 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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 96930093312/(1x1352)

LCM = 96930093312/1352

LCM = 71693856

Thus, we can understand that the LCM of 676,702,491,416 is 71693856.

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

• LCM of 288, 118, 333, 962
• LCM of 781, 961, 638, 375
• LCM of 669, 474, 609, 953
• LCM of 803, 867, 723, 471
• LCM of 254, 449, 576, 937

1. What is the LCM of 676, 702, 491, 416?

Answer: LCM of 676, 702, 491, 416 is 71693856.

2. How to calculate the LCM of 676, 702, 491, 416?

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, 702, 491, 416.

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}.