Given numbers are 821,676,494,442,702

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

The LCM of 821,676,494,442,702 is 4840120116.

Find LCM of 821,676,494,442,702 with Prime Factorization

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

2 x 13 x 821 x 26 x 19 x 17 x 27 = 4840120116

Therefore, the lowest common multiple of 821,676,494,442,702 is 4840120116.

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.

821 x 676 x 494 x 442 x 702 = 85069951158816

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.

821 : 1, 821

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

494 : 1, 2, 13, 19, 26, 38, 247, 494

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,676,494,442,702, is 1.

Now, the common factors can be found like this.

821:821

676:2x 2x 13x 13

494:2x 13x 19

442:2x 13x 17

702:2x 3x 3x 3x 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 13x 13 = 17576

Therefore, the value for common factors is 17576.

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 = 85069951158816/(1x17576)

LCM = 85069951158816/17576

LCM = 4840120116

Thus, we can understand that the LCM of 821,676,494,442,702 is 4840120116.

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

• LCM of 946, 683, 792, 398, 904
• LCM of 233, 886, 414, 760, 538
• LCM of 321, 757, 979, 268, 842
• LCM of 290, 688, 901, 696, 245
• LCM of 283, 753, 772, 830, 241

1. What is the LCM of 821, 676, 494, 442, 702?

Answer: LCM of 821, 676, 494, 442, 702 is 4840120116.

2. How to calculate the LCM of 821, 676, 494, 442, 702?

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 821, 676, 494, 442, 702.

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}.