Given numbers are 624,753,353,312

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

The LCM of 624,753,353,312 is 55288272.

Find LCM of 624,753,353,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 251 x 353 x 2 = 55288272

Therefore, the lowest common multiple of 624,753,353,312 is 55288272.

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.

624 x 753 x 353 x 312 = 51749822592

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.

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

753 : 1, 3, 251, 753

353 : 1, 353

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,753,353,312, is 1.

Now, the common factors can be found like this.

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

753:3x 251

353:353

312:2x 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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 51749822592/(1x936)

LCM = 51749822592/936

LCM = 55288272

Thus, we can understand that the LCM of 624,753,353,312 is 55288272.

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

• LCM of 131, 483, 721, 643
• LCM of 124, 760, 969, 932
• LCM of 828, 110, 731, 271
• LCM of 927, 928, 841, 135
• LCM of 506, 848, 730, 286

1. What is the LCM of 624, 753, 353, 312?

Answer: LCM of 624, 753, 353, 312 is 55288272.

2. How to calculate the LCM of 624, 753, 353, 312?

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 624, 753, 353, 312.

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}.