Given numbers are 242,302,900,419

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

The LCM of 242,302,900,419 is 6889994100.

Find LCM of 242,302,900,419 with Prime Factorization

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

2 x 121 x 151 x 450 x 419 = 6889994100

Therefore, the lowest common multiple of 242,302,900,419 is 6889994100.

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.

242 x 302 x 900 x 419 = 27559976400

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.

242 : 1, 2, 11, 22, 121, 242

302 : 1, 2, 151, 302

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,302,900,419, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

302:2x 151

900:2x 2x 3x 3x 5x 5

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 2 = 4

Therefore, the value for common factors is 4.

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 = 27559976400/(1x4)

LCM = 27559976400/4

LCM = 6889994100

Thus, we can understand that the LCM of 242,302,900,419 is 6889994100.

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

• LCM of 289, 824, 151, 139
• LCM of 113, 123, 717, 941
• LCM of 289, 731, 838, 415
• LCM of 877, 554, 575, 920
• LCM of 221, 880, 328, 348

1. What is the LCM of 242, 302, 900, 419?

Answer: LCM of 242, 302, 900, 419 is 6889994100.

2. How to calculate the LCM of 242, 302, 900, 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 242, 302, 900, 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}.