Given numbers are 538,228,624,348,286

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

The LCM of 538,228,624,348,286 is 1017375216.

Find LCM of 538,228,624,348,286 with Prime Factorization

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

2 x 2 x 3 x 13 x 269 x 19 x 4 x 29 x 11 = 1017375216

Therefore, the lowest common multiple of 538,228,624,348,286 is 1017375216.

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.

538 x 228 x 624 x 348 x 286 = 7618105617408

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.

538 : 1, 2, 269, 538

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,228,624,348,286, is 2.

Now, the common factors can be found like this.

538:2x 269

228:2x 2x 3x 19

624:2x 2x 2x 2x 3x 13

348:2x 2x 3x 29

286:2x 11x 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 2x 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 7618105617408/(2x3744)

LCM = 7618105617408/7488

LCM = 1017375216

Thus, we can understand that the LCM of 538,228,624,348,286 is 1017375216.

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

• LCM of 149, 720, 793, 727, 401
• LCM of 418, 829, 579, 199, 503
• LCM of 943, 931, 460, 829, 886
• LCM of 573, 956, 241, 263, 303
• LCM of 395, 273, 243, 374, 825

1. What is the LCM of 538, 228, 624, 348, 286?

Answer: LCM of 538, 228, 624, 348, 286 is 1017375216.

2. How to calculate the LCM of 538, 228, 624, 348, 286?

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 538, 228, 624, 348, 286.

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}.