Given numbers are 269,676,774,232,912

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

The LCM of 269,676,774,232,912 is 155103476112.

Find LCM of 269,676,774,232,912 with Prime Factorization

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

2 x 2 x 2 x 3 x 269 x 169 x 129 x 29 x 38 = 155103476112

Therefore, the lowest common multiple of 269,676,774,232,912 is 155103476112.

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.

269 x 676 x 774 x 232 x 912 = 29779867413504

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.

269 : 1, 269

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

232 : 1, 2, 4, 8, 29, 58, 116, 232

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,676,774,232,912, is 1.

Now, the common factors can be found like this.

269:269

676:2x 2x 13x 13

774:2x 3x 3x 43

232:2x 2x 2x 29

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

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 3 = 192

Therefore, the value for common factors is 192.

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 = 29779867413504/(1x192)

LCM = 29779867413504/192

LCM = 155103476112

Thus, we can understand that the LCM of 269,676,774,232,912 is 155103476112.

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

• LCM of 661, 601, 509, 249, 233
• LCM of 671, 804, 870, 208, 612
• LCM of 746, 616, 296, 307, 227
• LCM of 333, 438, 162, 489, 376
• LCM of 484, 810, 573, 973, 918

1. What is the LCM of 269, 676, 774, 232, 912?

Answer: LCM of 269, 676, 774, 232, 912 is 155103476112.

2. How to calculate the LCM of 269, 676, 774, 232, 912?

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 269, 676, 774, 232, 912.

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}.