Given numbers are 513,228,466,849,159

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

The LCM of 513,228,466,849,159 is 7171261884.

Find LCM of 513,228,466,849,159 with Prime Factorization

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

2 x 3 x 19 x 9 x 2 x 233 x 283 x 53 = 7171261884

Therefore, the lowest common multiple of 513,228,466,849,159 is 7171261884.

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.

513 x 228 x 466 x 849 x 159 = 7357714692984

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

466 : 1, 2, 233, 466

849 : 1, 3, 283, 849

159 : 1, 3, 53, 159

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,228,466,849,159, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

228:2x 2x 3x 19

466:2x 233

849:3x 283

159:3x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 19 = 1026

Therefore, the value for common factors is 1026.

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 = 7357714692984/(1x1026)

LCM = 7357714692984/1026

LCM = 7171261884

Thus, we can understand that the LCM of 513,228,466,849,159 is 7171261884.

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

• LCM of 919, 184, 105, 748, 198
• LCM of 418, 360, 731, 321, 197
• LCM of 378, 503, 977, 166, 802
• LCM of 792, 648, 754, 760, 542
• LCM of 635, 978, 995, 721, 300

1. What is the LCM of 513, 228, 466, 849, 159?

Answer: LCM of 513, 228, 466, 849, 159 is 7171261884.

2. How to calculate the LCM of 513, 228, 466, 849, 159?

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 513, 228, 466, 849, 159.

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}.