Given numbers are 993,414,993,319,673

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

The LCM of 993,414,993,319,673 is 29419418358.

Find LCM of 993,414,993,319,673 with Prime Factorization

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

3 x 331 x 1 x 138 x 1 x 319 x 673 = 29419418358

Therefore, the lowest common multiple of 993,414,993,319,673 is 29419418358.

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 414 x 993 x 319 x 673 = 87640447288482

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

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

993 : 1, 3, 331, 993

319 : 1, 11, 29, 319

673 : 1, 673

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,414,993,319,673, is 1.

Now, the common factors can be found like this.

993:3x 331

414:2x 3x 3x 23

993:3x 331

319:11x 29

673:673

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 331 = 2979

Therefore, the value for common factors is 2979.

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 = 87640447288482/(1x2979)

LCM = 87640447288482/2979

LCM = 29419418358

Thus, we can understand that the LCM of 993,414,993,319,673 is 29419418358.

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

• LCM of 670, 221, 735, 483, 805
• LCM of 237, 123, 598, 109, 531
• LCM of 956, 499, 546, 130, 522
• LCM of 199, 808, 304, 772, 478
• LCM of 781, 106, 720, 547, 965

1. What is the LCM of 993, 414, 993, 319, 673?

Answer: LCM of 993, 414, 993, 319, 673 is 29419418358.

2. How to calculate the LCM of 993, 414, 993, 319, 673?

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, 414, 993, 319, 673.

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}.