Given numbers are 494,208,107,828,676

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

The LCM of 494,208,107,828,676 is 1137927024.

Find LCM of 494,208,107,828,676 with Prime Factorization

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

2 x 2 x 13 x 19 x 4 x 107 x 207 x 13 = 1137927024

Therefore, the lowest common multiple of 494,208,107,828,676 is 1137927024.

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.

494 x 208 x 107 x 828 x 676 = 6153909345792

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.

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

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

107 : 1, 107

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,208,107,828,676, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

208:2x 2x 2x 2x 13

107:107

828:2x 2x 3x 3x 23

676:2x 2x 13x 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 2x 2x 13x 13 = 5408

Therefore, the value for common factors is 5408.

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 = 6153909345792/(1x5408)

LCM = 6153909345792/5408

LCM = 1137927024

Thus, we can understand that the LCM of 494,208,107,828,676 is 1137927024.

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

• LCM of 862, 866, 909, 998, 462
• LCM of 925, 423, 561, 153, 693
• LCM of 475, 726, 202, 613, 968
• LCM of 280, 930, 498, 655, 841
• LCM of 545, 842, 457, 478, 339

1. What is the LCM of 494, 208, 107, 828, 676?

Answer: LCM of 494, 208, 107, 828, 676 is 1137927024.

2. How to calculate the LCM of 494, 208, 107, 828, 676?

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 494, 208, 107, 828, 676.

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}.