Given numbers are 289,836,912,676

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

The LCM of 289,836,912,676 is 489972912.

Find LCM of 289,836,912,676 with Prime Factorization

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

2 x 2 x 19 x 289 x 11 x 12 x 169 = 489972912

Therefore, the lowest common multiple of 289,836,912,676 is 489972912.

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.

289 x 836 x 912 x 676 = 148951765248

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.

289 : 1, 17, 289

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 289,836,912,676, is 1.

Now, the common factors can be found like this.

289:17x 17

836:2x 2x 11x 19

912:2x 2x 2x 2x 3x 19

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 19 = 304

Therefore, the value for common factors is 304.

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 = 148951765248/(1x304)

LCM = 148951765248/304

LCM = 489972912

Thus, we can understand that the LCM of 289,836,912,676 is 489972912.

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

• LCM of 778, 343, 794, 818
• LCM of 190, 637, 197, 424
• LCM of 123, 167, 389, 133
• LCM of 841, 241, 751, 564
• LCM of 493, 790, 167, 982

1. What is the LCM of 289, 836, 912, 676?

Answer: LCM of 289, 836, 912, 676 is 489972912.

2. How to calculate the LCM of 289, 836, 912, 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 289, 836, 912, 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}.