Given numbers are 438,670,494,560

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

The LCM of 438,670,494,560 is 2029569360.

Find LCM of 438,670,494,560 with Prime Factorization

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

2 x 5 x 219 x 67 x 247 x 56 = 2029569360

Therefore, the lowest common multiple of 438,670,494,560 is 2029569360.

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 670 x 494 x 560 = 81182774400

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

670 : 1, 2, 5, 10, 67, 134, 335, 670

494 : 1, 2, 13, 19, 26, 38, 247, 494

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,670,494,560, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

670:2x 5x 67

494:2x 13x 19

560:2x 2x 2x 2x 5x 7

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 5 = 20

Therefore, the value for common factors is 20.

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 = 81182774400/(2x20)

LCM = 81182774400/40

LCM = 2029569360

Thus, we can understand that the LCM of 438,670,494,560 is 2029569360.

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

• LCM of 398, 509, 621, 665
• LCM of 700, 193, 611, 961
• LCM of 771, 834, 417, 784
• LCM of 398, 914, 114, 960
• LCM of 494, 906, 674, 834

1. What is the LCM of 438, 670, 494, 560?

Answer: LCM of 438, 670, 494, 560 is 2029569360.

2. How to calculate the LCM of 438, 670, 494, 560?

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, 670, 494, 560.

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}.