Given numbers are 390,584,526,936

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

The LCM of 390,584,526,936 is 89851320.

Find LCM of 390,584,526,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 5 x 73 x 263 x 3 = 89851320

Therefore, the lowest common multiple of 390,584,526,936 is 89851320.

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.

390 x 584 x 526 x 936 = 112134447360

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

584 : 1, 2, 4, 8, 73, 146, 292, 584

526 : 1, 2, 263, 526

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,584,526,936, is 2.

Now, the common factors can be found like this.

390:2x 3x 5x 13

584:2x 2x 2x 73

526:2x 263

936:2x 2x 2x 3x 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 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 112134447360/(2x624)

LCM = 112134447360/1248

LCM = 89851320

Thus, we can understand that the LCM of 390,584,526,936 is 89851320.

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

• LCM of 334, 399, 850, 230
• LCM of 856, 133, 475, 171
• LCM of 241, 306, 449, 160
• LCM of 957, 876, 621, 474
• LCM of 685, 437, 586, 777

1. What is the LCM of 390, 584, 526, 936?

Answer: LCM of 390, 584, 526, 936 is 89851320.

2. How to calculate the LCM of 390, 584, 526, 936?

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 390, 584, 526, 936.

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}.