Given numbers are 993,748,705,357,722

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

The LCM of 993,748,705,357,722 is 441086687580.

Find LCM of 993,748,705,357,722 with Prime Factorization

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

2 x 3 x 17 x 331 x 22 x 235 x 7 x 361 = 441086687580

Therefore, the lowest common multiple of 993,748,705,357,722 is 441086687580.

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.

993 x 748 x 705 x 357 x 722 = 134972526399480

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.

993 : 1, 3, 331, 993

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

705 : 1, 3, 5, 15, 47, 141, 235, 705

357 : 1, 3, 7, 17, 21, 51, 119, 357

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,748,705,357,722, is 1.

Now, the common factors can be found like this.

993:3x 331

748:2x 2x 11x 17

705:3x 5x 47

357:3x 7x 17

722:2x 19x 19

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 17 = 306

Therefore, the value for common factors is 306.

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 = 134972526399480/(1x306)

LCM = 134972526399480/306

LCM = 441086687580

Thus, we can understand that the LCM of 993,748,705,357,722 is 441086687580.

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

• LCM of 714, 504, 195, 201, 497
• LCM of 143, 928, 350, 562, 510
• LCM of 304, 505, 593, 412, 119
• LCM of 685, 711, 263, 501, 438
• LCM of 880, 994, 654, 386, 629

1. What is the LCM of 993, 748, 705, 357, 722?

Answer: LCM of 993, 748, 705, 357, 722 is 441086687580.

2. How to calculate the LCM of 993, 748, 705, 357, 722?

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 993, 748, 705, 357, 722.

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}.