Given numbers are 492,954,875,988,419

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

The LCM of 492,954,875,988,419 is 7084044103500.

Find LCM of 492,954,875,988,419 with Prime Factorization

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

2 x 2 x 3 x 41 x 159 x 875 x 247 x 419 = 7084044103500

Therefore, the lowest common multiple of 492,954,875,988,419 is 7084044103500.

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.

492 x 954 x 875 x 988 x 419 = 170017058484000

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

875 : 1, 5, 7, 25, 35, 125, 175, 875

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,954,875,988,419, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

954:2x 3x 3x 53

875:5x 5x 5x 7

988:2x 2x 13x 19

419:419

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 170017058484000/(1x24)

LCM = 170017058484000/24

LCM = 7084044103500

Thus, we can understand that the LCM of 492,954,875,988,419 is 7084044103500.

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

• LCM of 543, 154, 945, 913, 766
• LCM of 465, 302, 493, 888, 703
• LCM of 275, 882, 356, 736, 665
• LCM of 888, 656, 768, 414, 450
• LCM of 136, 227, 499, 798, 557

1. What is the LCM of 492, 954, 875, 988, 419?

Answer: LCM of 492, 954, 875, 988, 419 is 7084044103500.

2. How to calculate the LCM of 492, 954, 875, 988, 419?

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 492, 954, 875, 988, 419.

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}.