Given numbers are 523,749,321,552

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

The LCM of 523,749,321,552 is 216233304.

Find LCM of 523,749,321,552 with Prime Factorization

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

3 x 107 x 523 x 7 x 1 x 184 = 216233304

Therefore, the lowest common multiple of 523,749,321,552 is 216233304.

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.

523 x 749 x 321 x 552 = 69410890584

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.

523 : 1, 523

749 : 1, 7, 107, 749

321 : 1, 3, 107, 321

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,749,321,552, is 1.

Now, the common factors can be found like this.

523:523

749:7x 107

321:3x 107

552:2x 2x 2x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 69410890584/(1x321)

LCM = 69410890584/321

LCM = 216233304

Thus, we can understand that the LCM of 523,749,321,552 is 216233304.

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

• LCM of 679, 280, 111, 426
• LCM of 766, 662, 303, 555
• LCM of 355, 640, 974, 195
• LCM of 387, 729, 812, 389
• LCM of 295, 653, 310, 487

1. What is the LCM of 523, 749, 321, 552?

Answer: LCM of 523, 749, 321, 552 is 216233304.

2. How to calculate the LCM of 523, 749, 321, 552?

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 523, 749, 321, 552.

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}.