Given numbers are 456,631,212,892,269

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

The LCM of 456,631,212,892,269 is 914802229896.

Find LCM of 456,631,212,892,269 with Prime Factorization

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

2 x 2 x 114 x 631 x 53 x 223 x 269 = 914802229896

Therefore, the lowest common multiple of 456,631,212,892,269 is 914802229896.

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.

456 x 631 x 212 x 892 x 269 = 14636835678336

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.

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

631 : 1, 631

212 : 1, 2, 4, 53, 106, 212

892 : 1, 2, 4, 223, 446, 892

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,631,212,892,269, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

631:631

212:2x 2x 53

892:2x 2x 223

269:269

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 2 = 16

Therefore, the value for common factors is 16.

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 = 14636835678336/(1x16)

LCM = 14636835678336/16

LCM = 914802229896

Thus, we can understand that the LCM of 456,631,212,892,269 is 914802229896.

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

• LCM of 233, 197, 844, 850, 675
• LCM of 106, 643, 173, 454, 287
• LCM of 980, 797, 281, 123, 494
• LCM of 503, 312, 853, 497, 351
• LCM of 746, 930, 502, 428, 429

1. What is the LCM of 456, 631, 212, 892, 269?

Answer: LCM of 456, 631, 212, 892, 269 is 914802229896.

2. How to calculate the LCM of 456, 631, 212, 892, 269?

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 456, 631, 212, 892, 269.

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}.