Given numbers are 523,270,856,749

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

The LCM of 523,270,856,749 is 423065160.

Find LCM of 523,270,856,749 with Prime Factorization

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

2 x 107 x 523 x 135 x 4 x 7 = 423065160

Therefore, the lowest common multiple of 523,270,856,749 is 423065160.

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 270 x 856 x 749 = 90535944240

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

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

856 : 1, 2, 4, 8, 107, 214, 428, 856

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,270,856,749, is 1.

Now, the common factors can be found like this.

523:523

270:2x 3x 3x 3x 5

856:2x 2x 2x 107

749:7x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 90535944240/(1x214)

LCM = 90535944240/214

LCM = 423065160

Thus, we can understand that the LCM of 523,270,856,749 is 423065160.

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

• LCM of 708, 694, 709, 519
• LCM of 285, 657, 788, 426
• LCM of 986, 395, 665, 773
• LCM of 789, 871, 305, 355
• LCM of 977, 969, 783, 304

1. What is the LCM of 523, 270, 856, 749?

Answer: LCM of 523, 270, 856, 749 is 423065160.

2. How to calculate the LCM of 523, 270, 856, 749?

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, 270, 856, 749.

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}.