Given numbers are 676,199,625,276,828

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

The LCM of 676,199,625,276,828 is 17404042500.

Find LCM of 676,199,625,276,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 169 x 199 x 625 x 1 x 3 = 17404042500

Therefore, the lowest common multiple of 676,199,625,276,828 is 17404042500.

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 199 x 625 x 276 x 828 = 19214062920000

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

199 : 1, 199

625 : 1, 5, 25, 125, 625

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,199,625,276,828, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

199:199

625:5x 5x 5x 5

276:2x 2x 3x 23

828:2x 2x 3x 3x 23

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 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 19214062920000/(1x1104)

LCM = 19214062920000/1104

LCM = 17404042500

Thus, we can understand that the LCM of 676,199,625,276,828 is 17404042500.

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

• LCM of 755, 716, 707, 359, 527
• LCM of 544, 502, 873, 843, 542
• LCM of 809, 424, 141, 775, 104
• LCM of 868, 564, 276, 542, 930
• LCM of 188, 820, 609, 261, 438

1. What is the LCM of 676, 199, 625, 276, 828?

Answer: LCM of 676, 199, 625, 276, 828 is 17404042500.

2. How to calculate the LCM of 676, 199, 625, 276, 828?

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, 199, 625, 276, 828.

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}.