Given numbers are 720,193,228,420,393

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

The LCM of 720,193,228,420,393 is 2421100080.

Find LCM of 720,193,228,420,393 with Prime Factorization

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

2 x 2 x 3 x 5 x 12 x 193 x 19 x 7 x 131 = 2421100080

Therefore, the lowest common multiple of 720,193,228,420,393 is 2421100080.

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.

720 x 193 x 228 x 420 x 393 = 5229576172800

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

193 : 1, 193

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

393 : 1, 3, 131, 393

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,193,228,420,393, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

193:193

228:2x 2x 3x 19

420:2x 2x 3x 5x 7

393:3x 131

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 3x 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 5229576172800/(1x2160)

LCM = 5229576172800/2160

LCM = 2421100080

Thus, we can understand that the LCM of 720,193,228,420,393 is 2421100080.

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

• LCM of 940, 431, 833, 759, 547
• LCM of 803, 962, 459, 381, 406
• LCM of 669, 296, 724, 325, 803
• LCM of 256, 224, 609, 918, 783
• LCM of 347, 654, 713, 192, 728

1. What is the LCM of 720, 193, 228, 420, 393?

Answer: LCM of 720, 193, 228, 420, 393 is 2421100080.

2. How to calculate the LCM of 720, 193, 228, 420, 393?

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 720, 193, 228, 420, 393.

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}.