Given numbers are 457,974,107,368,419

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

The LCM of 457,974,107,368,419 is 3671899454096.

Find LCM of 457,974,107,368,419 with Prime Factorization

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

2 x 457 x 487 x 107 x 184 x 419 = 3671899454096

Therefore, the lowest common multiple of 457,974,107,368,419 is 3671899454096.

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.

457 x 974 x 107 x 368 x 419 = 7343798908192

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.

457 : 1, 457

974 : 1, 2, 487, 974

107 : 1, 107

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,974,107,368,419, is 1.

Now, the common factors can be found like this.

457:457

974:2x 487

107:107

368:2x 2x 2x 2x 23

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 7343798908192/(1x2)

LCM = 7343798908192/2

LCM = 3671899454096

Thus, we can understand that the LCM of 457,974,107,368,419 is 3671899454096.

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

• LCM of 443, 985, 986, 906, 158
• LCM of 460, 360, 163, 762, 819
• LCM of 502, 123, 986, 533, 309
• LCM of 509, 620, 945, 451, 962
• LCM of 908, 899, 873, 656, 543

1. What is the LCM of 457, 974, 107, 368, 419?

Answer: LCM of 457, 974, 107, 368, 419 is 3671899454096.

2. How to calculate the LCM of 457, 974, 107, 368, 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 457, 974, 107, 368, 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}.