Given numbers are 513,389,456,532,228

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

The LCM of 513,389,456,532,228 is 11175192.

Find LCM of 513,389,456,532,228 with Prime Factorization

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

2 x 2 x 3 x 19 x 9 x 389 x 1 x 7 x 2 = 11175192

Therefore, the lowest common multiple of 513,389,456,532,228 is 11175192.

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 389 x 456 x 532 x 228 = 11037692437632

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

389 : 1, 389

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,389,456,532,228, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

389:389

456:2x 2x 2x 3x 19

532:2x 2x 7x 19

228:2x 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 3x 3x 19x 19x 19 = 987696

Therefore, the value for common factors is 987696.

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 = 11037692437632/(1x987696)

LCM = 11037692437632/987696

LCM = 11175192

Thus, we can understand that the LCM of 513,389,456,532,228 is 11175192.

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

• LCM of 344, 931, 232, 528, 981
• LCM of 805, 903, 188, 477, 714
• LCM of 680, 433, 602, 409, 476
• LCM of 249, 825, 325, 146, 217
• LCM of 829, 177, 503, 930, 803

1. What is the LCM of 513, 389, 456, 532, 228?

Answer: LCM of 513, 389, 456, 532, 228 is 11175192.

2. How to calculate the LCM of 513, 389, 456, 532, 228?

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, 389, 456, 532, 228.

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}.