Given numbers are 676,884,496,715,990

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

The LCM of 676,884,496,715,990 is 705378960.

Find LCM of 676,884,496,715,990 with Prime Factorization

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

2 x 2 x 5 x 11 x 13 x 1 x 17 x 124 x 13 x 9 = 705378960

Therefore, the lowest common multiple of 676,884,496,715,990 is 705378960.

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 884 x 496 x 715 x 990 = 209807917862400

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

715 : 1, 5, 11, 13, 55, 65, 143, 715

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,884,496,715,990, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

884:2x 2x 13x 17

496:2x 2x 2x 2x 31

715:5x 11x 13

990:2x 3x 3x 5x 11

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 2x 5x 11x 13x 13 = 297440

Therefore, the value for common factors is 297440.

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 = 209807917862400/(1x297440)

LCM = 209807917862400/297440

LCM = 705378960

Thus, we can understand that the LCM of 676,884,496,715,990 is 705378960.

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

• LCM of 281, 643, 599, 663, 431
• LCM of 948, 908, 789, 916, 606
• LCM of 433, 486, 172, 484, 754
• LCM of 710, 181, 927, 743, 804
• LCM of 625, 636, 685, 922, 350

1. What is the LCM of 676, 884, 496, 715, 990?

Answer: LCM of 676, 884, 496, 715, 990 is 705378960.

2. How to calculate the LCM of 676, 884, 496, 715, 990?

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, 884, 496, 715, 990.

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}.