Given numbers are 612,762,624,117,531

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

The LCM of 612,762,624,117,531 is 238457232.

Find LCM of 612,762,624,117,531 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 17 x 127 x 4 x 1 x 59 = 238457232

Therefore, the lowest common multiple of 612,762,624,117,531 is 238457232.

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.

612 x 762 x 624 x 117 x 531 = 18078873501312

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

762 : 1, 2, 3, 6, 127, 254, 381, 762

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

117 : 1, 3, 9, 13, 39, 117

531 : 1, 3, 9, 59, 177, 531

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,762,624,117,531, is 3.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

762:2x 3x 127

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

117:3x 3x 13

531:3x 3x 59

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 3x 3x 3x 3x 3x 13 = 25272

Therefore, the value for common factors is 25272.

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 = 18078873501312/(3x25272)

LCM = 18078873501312/75816

LCM = 238457232

Thus, we can understand that the LCM of 612,762,624,117,531 is 238457232.

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

• LCM of 169, 886, 649, 630, 436
• LCM of 814, 103, 147, 718, 811
• LCM of 336, 780, 811, 835, 449
• LCM of 927, 419, 486, 905, 111
• LCM of 147, 272, 584, 100, 569

1. What is the LCM of 612, 762, 624, 117, 531?

Answer: LCM of 612, 762, 624, 117, 531 is 238457232.

2. How to calculate the LCM of 612, 762, 624, 117, 531?

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 612, 762, 624, 117, 531.

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}.