Given numbers are 924,373,994,644,414

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

The LCM of 924,373,994,644,414 is 1688450148.

Find LCM of 924,373,994,644,414 with Prime Factorization

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

2 x 2 x 3 x 7 x 23 x 11 x 373 x 71 x 1 x 3 = 1688450148

Therefore, the lowest common multiple of 924,373,994,644,414 is 1688450148.

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 373 x 994 x 644 x 414 = 91338399206208

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

373 : 1, 373

994 : 1, 2, 7, 14, 71, 142, 497, 994

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,373,994,644,414, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

373:373

994:2x 7x 71

644:2x 2x 7x 23

414:2x 3x 3x 23

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 3x 7x 7x 23 = 54096

Therefore, the value for common factors is 54096.

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 = 91338399206208/(1x54096)

LCM = 91338399206208/54096

LCM = 1688450148

Thus, we can understand that the LCM of 924,373,994,644,414 is 1688450148.

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

• LCM of 565, 648, 448, 736, 229
• LCM of 758, 452, 858, 511, 427
• LCM of 584, 907, 367, 826, 835
• LCM of 506, 508, 941, 631, 718
• LCM of 993, 947, 798, 981, 384

1. What is the LCM of 924, 373, 994, 644, 414?

Answer: LCM of 924, 373, 994, 644, 414 is 1688450148.

2. How to calculate the LCM of 924, 373, 994, 644, 414?

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, 373, 994, 644, 414.

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}.