Given numbers are 508,338,326,236,624

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

The LCM of 508,338,326,236,624 is 9907664208.

Find LCM of 508,338,326,236,624 with Prime Factorization

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

2 x 2 x 13 x 127 x 13 x 163 x 59 x 12 = 9907664208

Therefore, the lowest common multiple of 508,338,326,236,624 is 9907664208.

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.

508 x 338 x 326 x 236 x 624 = 8243176621056

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.

508 : 1, 2, 4, 127, 254, 508

338 : 1, 2, 13, 26, 169, 338

326 : 1, 2, 163, 326

236 : 1, 2, 4, 59, 118, 236

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,338,326,236,624, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

338:2x 13x 13

326:2x 163

236:2x 2x 59

624:2x 2x 2x 2x 3x 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 13 = 416

Therefore, the value for common factors is 416.

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 = 8243176621056/(2x416)

LCM = 8243176621056/832

LCM = 9907664208

Thus, we can understand that the LCM of 508,338,326,236,624 is 9907664208.

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

• LCM of 772, 338, 744, 210, 527
• LCM of 756, 739, 122, 247, 952
• LCM of 599, 188, 975, 856, 953
• LCM of 835, 974, 457, 492, 118
• LCM of 180, 216, 326, 194, 735

1. What is the LCM of 508, 338, 326, 236, 624?

Answer: LCM of 508, 338, 326, 236, 624 is 9907664208.

2. How to calculate the LCM of 508, 338, 326, 236, 624?

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 508, 338, 326, 236, 624.

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}.