Given numbers are 817,338,676,274,168

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

The LCM of 817,338,676,274,168 is 3177888168.

Find LCM of 817,338,676,274,168 with Prime Factorization

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

2 x 2 x 13 x 13 x 817 x 1 x 1 x 137 x 42 = 3177888168

Therefore, the lowest common multiple of 817,338,676,274,168 is 3177888168.

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.

817 x 338 x 676 x 274 x 168 = 8593009606272

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.

817 : 1, 19, 43, 817

338 : 1, 2, 13, 26, 169, 338

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

274 : 1, 2, 137, 274

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,338,676,274,168, is 1.

Now, the common factors can be found like this.

817:19x 43

338:2x 13x 13

676:2x 2x 13x 13

274:2x 137

168:2x 2x 2x 3x 7

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 13x 13 = 2704

Therefore, the value for common factors is 2704.

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 = 8593009606272/(1x2704)

LCM = 8593009606272/2704

LCM = 3177888168

Thus, we can understand that the LCM of 817,338,676,274,168 is 3177888168.

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

• LCM of 890, 140, 598, 410, 916
• LCM of 582, 886, 532, 480, 916
• LCM of 401, 410, 566, 941, 659
• LCM of 939, 339, 977, 891, 944
• LCM of 871, 885, 445, 426, 188

1. What is the LCM of 817, 338, 676, 274, 168?

Answer: LCM of 817, 338, 676, 274, 168 is 3177888168.

2. How to calculate the LCM of 817, 338, 676, 274, 168?

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 817, 338, 676, 274, 168.

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}.