Given numbers are 924,447,938,351,375

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

The LCM of 924,447,938,351,375 is 134905270500.

Find LCM of 924,447,938,351,375 with Prime Factorization

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

2 x 3 x 7 x 22 x 149 x 67 x 117 x 125 = 134905270500

Therefore, the lowest common multiple of 924,447,938,351,375 is 134905270500.

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.

924 x 447 x 938 x 351 x 375 = 50994192249000

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

447 : 1, 3, 149, 447

938 : 1, 2, 7, 14, 67, 134, 469, 938

351 : 1, 3, 9, 13, 27, 39, 117, 351

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,447,938,351,375, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

447:3x 149

938:2x 7x 67

351:3x 3x 3x 13

375:3x 5x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 50994192249000/(1x378)

LCM = 50994192249000/378

LCM = 134905270500

Thus, we can understand that the LCM of 924,447,938,351,375 is 134905270500.

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

• LCM of 577, 147, 728, 148, 697
• LCM of 868, 989, 916, 514, 521
• LCM of 789, 468, 220, 379, 680
• LCM of 438, 387, 903, 835, 434
• LCM of 551, 101, 940, 600, 482

1. What is the LCM of 924, 447, 938, 351, 375?

Answer: LCM of 924, 447, 938, 351, 375 is 134905270500.

2. How to calculate the LCM of 924, 447, 938, 351, 375?

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 924, 447, 938, 351, 375.

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}.