Given numbers are 418,380,896,948,313

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

The LCM of 418,380,896,948,313 is 69457153920.

Find LCM of 418,380,896,948,313 with Prime Factorization

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

2 x 2 x 19 x 11 x 5 x 224 x 237 x 313 = 69457153920

Therefore, the lowest common multiple of 418,380,896,948,313 is 69457153920.

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.

418 x 380 x 896 x 948 x 313 = 42229949583360

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,380,896,948,313, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

380:2x 2x 5x 19

896:2x 2x 2x 2x 2x 2x 2x 7

948:2x 2x 3x 79

313:313

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 2x 2x 19 = 608

Therefore, the value for common factors is 608.

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 = 42229949583360/(1x608)

LCM = 42229949583360/608

LCM = 69457153920

Thus, we can understand that the LCM of 418,380,896,948,313 is 69457153920.

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

• LCM of 359, 100, 810, 725, 429
• LCM of 188, 128, 439, 576, 343
• LCM of 832, 380, 289, 500, 420
• LCM of 140, 307, 227, 326, 645
• LCM of 883, 991, 666, 191, 554

1. What is the LCM of 418, 380, 896, 948, 313?

Answer: LCM of 418, 380, 896, 948, 313 is 69457153920.

2. How to calculate the LCM of 418, 380, 896, 948, 313?

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 418, 380, 896, 948, 313.

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}.