Given numbers are 993,648,714,652,363

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

The LCM of 993,648,714,652,363 is 503411272056.

Find LCM of 993,648,714,652,363 with Prime Factorization

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

2 x 2 x 3 x 331 x 54 x 119 x 163 x 121 = 503411272056

Therefore, the lowest common multiple of 993,648,714,652,363 is 503411272056.

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 648 x 714 x 652 x 363 = 108736834764096

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

652 : 1, 2, 4, 163, 326, 652

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,648,714,652,363, is 1.

Now, the common factors can be found like this.

993:3x 331

648:2x 2x 2x 3x 3x 3x 3

714:2x 3x 7x 17

652:2x 2x 163

363:3x 11x 11

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 108736834764096/(1x216)

LCM = 108736834764096/216

LCM = 503411272056

Thus, we can understand that the LCM of 993,648,714,652,363 is 503411272056.

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

• LCM of 112, 822, 220, 921, 222
• LCM of 623, 599, 313, 745, 819
• LCM of 882, 138, 978, 258, 485
• LCM of 862, 445, 974, 689, 168
• LCM of 852, 291, 916, 435, 439

1. What is the LCM of 993, 648, 714, 652, 363?

Answer: LCM of 993, 648, 714, 652, 363 is 503411272056.

2. How to calculate the LCM of 993, 648, 714, 652, 363?

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, 648, 714, 652, 363.

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}.