Given numbers are 438,542,624,838

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

The LCM of 438,542,624,838 is 5172384048.

Find LCM of 438,542,624,838 with Prime Factorization

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

2 x 3 x 73 x 271 x 104 x 419 = 5172384048

Therefore, the lowest common multiple of 438,542,624,838 is 5172384048.

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.

438 x 542 x 624 x 838 = 124137217152

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

542 : 1, 2, 271, 542

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

838 : 1, 2, 419, 838

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,542,624,838, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

542:2x 271

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

838:2x 419

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 3 = 12

Therefore, the value for common factors is 12.

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 = 124137217152/(2x12)

LCM = 124137217152/24

LCM = 5172384048

Thus, we can understand that the LCM of 438,542,624,838 is 5172384048.

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

• LCM of 561, 784, 575, 461
• LCM of 845, 111, 867, 878
• LCM of 444, 300, 633, 671
• LCM of 667, 924, 103, 364
• LCM of 189, 403, 367, 278

1. What is the LCM of 438, 542, 624, 838?

Answer: LCM of 438, 542, 624, 838 is 5172384048.

2. How to calculate the LCM of 438, 542, 624, 838?

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 438, 542, 624, 838.

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}.