Given numbers are 838,122,400,419,454

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

The LCM of 838,122,400,419,454 is 2320757200.

Find LCM of 838,122,400,419,454 with Prime Factorization

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

2 x 419 x 1 x 61 x 200 x 1 x 227 = 2320757200

Therefore, the lowest common multiple of 838,122,400,419,454 is 2320757200.

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.

838 x 122 x 400 x 419 x 454 = 7779178134400

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.

838 : 1, 2, 419, 838

122 : 1, 2, 61, 122

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

419 : 1, 419

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,122,400,419,454, is 1.

Now, the common factors can be found like this.

838:2x 419

122:2x 61

400:2x 2x 2x 2x 5x 5

419:419

454:2x 227

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 419 = 3352

Therefore, the value for common factors is 3352.

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 = 7779178134400/(1x3352)

LCM = 7779178134400/3352

LCM = 2320757200

Thus, we can understand that the LCM of 838,122,400,419,454 is 2320757200.

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

• LCM of 636, 926, 468, 789, 626
• LCM of 196, 586, 461, 137, 737
• LCM of 320, 215, 519, 882, 224
• LCM of 506, 998, 923, 263, 749
• LCM of 526, 833, 882, 778, 807

1. What is the LCM of 838, 122, 400, 419, 454?

Answer: LCM of 838, 122, 400, 419, 454 is 2320757200.

2. How to calculate the LCM of 838, 122, 400, 419, 454?

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 838, 122, 400, 419, 454.

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}.