Given numbers are 243,791,840,749,921

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

The LCM of 243,791,840,749,921 is 252560193480.

Find LCM of 243,791,840,749,921 with Prime Factorization

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

3 x 7 x 81 x 113 x 40 x 107 x 307 = 252560193480

Therefore, the lowest common multiple of 243,791,840,749,921 is 252560193480.

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.

243 x 791 x 840 x 749 x 921 = 111379045324680

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.

243 : 1, 3, 9, 27, 81, 243

791 : 1, 7, 113, 791

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

749 : 1, 7, 107, 749

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,791,840,749,921, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

791:7x 113

840:2x 2x 2x 3x 5x 7

749:7x 107

921:3x 307

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

3x 3x 7x 7 = 441

Therefore, the value for common factors is 441.

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 = 111379045324680/(1x441)

LCM = 111379045324680/441

LCM = 252560193480

Thus, we can understand that the LCM of 243,791,840,749,921 is 252560193480.

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

• LCM of 611, 141, 196, 551, 500
• LCM of 723, 759, 478, 568, 317
• LCM of 982, 404, 260, 537, 828
• LCM of 458, 209, 106, 831, 265
• LCM of 188, 504, 246, 790, 759

1. What is the LCM of 243, 791, 840, 749, 921?

Answer: LCM of 243, 791, 840, 749, 921 is 252560193480.

2. How to calculate the LCM of 243, 791, 840, 749, 921?

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 243, 791, 840, 749, 921.

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}.