Given numbers are 137,372,304,504,440

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

The LCM of 137,372,304,504,440 is 4473619920.

Find LCM of 137,372,304,504,440 with Prime Factorization

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

2 x 2 x 2 x 3 x 137 x 31 x 38 x 21 x 55 = 4473619920

Therefore, the lowest common multiple of 137,372,304,504,440 is 4473619920.

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.

137 x 372 x 304 x 504 x 440 = 3435740098560

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.

137 : 1, 137

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,372,304,504,440, is 1.

Now, the common factors can be found like this.

137:137

372:2x 2x 3x 31

304:2x 2x 2x 2x 19

504:2x 2x 2x 3x 3x 7

440:2x 2x 2x 5x 11

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 2x 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 3435740098560/(1x768)

LCM = 3435740098560/768

LCM = 4473619920

Thus, we can understand that the LCM of 137,372,304,504,440 is 4473619920.

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

• LCM of 389, 512, 834, 526, 584
• LCM of 840, 730, 800, 105, 769
• LCM of 311, 611, 510, 688, 586
• LCM of 371, 669, 704, 296, 900
• LCM of 974, 482, 443, 624, 900

1. What is the LCM of 137, 372, 304, 504, 440?

Answer: LCM of 137, 372, 304, 504, 440 is 4473619920.

2. How to calculate the LCM of 137, 372, 304, 504, 440?

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 137, 372, 304, 504, 440.

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}.