Given numbers are 578,390,924,639

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

The LCM of 578,390,924,639 is 3697113420.

Find LCM of 578,390,924,639 with Prime Factorization

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

2 x 3 x 289 x 65 x 154 x 213 = 3697113420

Therefore, the lowest common multiple of 578,390,924,639 is 3697113420.

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.

578 x 390 x 924 x 639 = 133096083120

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.

578 : 1, 2, 17, 34, 289, 578

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,390,924,639, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

390:2x 3x 5x 13

924:2x 2x 3x 7x 11

639:3x 3x 71

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 133096083120/(1x36)

LCM = 133096083120/36

LCM = 3697113420

Thus, we can understand that the LCM of 578,390,924,639 is 3697113420.

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

• LCM of 986, 940, 883, 717
• LCM of 227, 665, 200, 736
• LCM of 986, 459, 984, 326
• LCM of 535, 764, 300, 734
• LCM of 374, 801, 145, 104

1. What is the LCM of 578, 390, 924, 639?

Answer: LCM of 578, 390, 924, 639 is 3697113420.

2. How to calculate the LCM of 578, 390, 924, 639?

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 578, 390, 924, 639.

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}.