Given numbers are 676,112,368,162,291

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

The LCM of 676,112,368,162,291 is 3420497808.

Find LCM of 676,112,368,162,291 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 169 x 7 x 23 x 27 x 97 = 3420497808

Therefore, the lowest common multiple of 676,112,368,162,291 is 3420497808.

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 112 x 368 x 162 x 291 = 1313471158272

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,112,368,162,291, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

112:2x 2x 2x 2x 7

368:2x 2x 2x 2x 23

162:2x 3x 3x 3x 3

291:3x 97

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 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 1313471158272/(1x384)

LCM = 1313471158272/384

LCM = 3420497808

Thus, we can understand that the LCM of 676,112,368,162,291 is 3420497808.

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

• LCM of 522, 323, 103, 739, 845
• LCM of 830, 724, 898, 686, 144
• LCM of 930, 304, 742, 748, 733
• LCM of 380, 222, 973, 579, 916
• LCM of 931, 813, 478, 339, 935

1. What is the LCM of 676, 112, 368, 162, 291?

Answer: LCM of 676, 112, 368, 162, 291 is 3420497808.

2. How to calculate the LCM of 676, 112, 368, 162, 291?

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, 112, 368, 162, 291.

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}.