Given numbers are 676,538,976,489

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

The LCM of 676,538,976,489 is 21696898704.

Find LCM of 676,538,976,489 with Prime Factorization

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

2 x 2 x 169 x 269 x 244 x 489 = 21696898704

Therefore, the lowest common multiple of 676,538,976,489 is 21696898704.

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 538 x 976 x 489 = 173575189632

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

538 : 1, 2, 269, 538

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,538,976,489, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

538:2x 269

976:2x 2x 2x 2x 61

489:3x 163

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 2 = 8

Therefore, the value for common factors is 8.

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 = 173575189632/(1x8)

LCM = 173575189632/8

LCM = 21696898704

Thus, we can understand that the LCM of 676,538,976,489 is 21696898704.

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

• LCM of 407, 174, 667, 396
• LCM of 667, 775, 415, 313
• LCM of 437, 773, 727, 190
• LCM of 900, 120, 496, 116
• LCM of 844, 866, 900, 313

1. What is the LCM of 676, 538, 976, 489?

Answer: LCM of 676, 538, 976, 489 is 21696898704.

2. How to calculate the LCM of 676, 538, 976, 489?

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, 538, 976, 489.

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}.