Given numbers are 723,428,368,112,194

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

The LCM of 723,428,368,112,194 is 19330347792.

Find LCM of 723,428,368,112,194 with Prime Factorization

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

2 x 2 x 2 x 2 x 723 x 107 x 23 x 7 x 97 = 19330347792

Therefore, the lowest common multiple of 723,428,368,112,194 is 19330347792.

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.

723 x 428 x 368 x 112 x 194 = 2474284517376

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.

723 : 1, 3, 241, 723

428 : 1, 2, 4, 107, 214, 428

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,428,368,112,194, is 1.

Now, the common factors can be found like this.

723:3x 241

428:2x 2x 107

368:2x 2x 2x 2x 23

112:2x 2x 2x 2x 7

194:2x 97

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 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 2474284517376/(1x128)

LCM = 2474284517376/128

LCM = 19330347792

Thus, we can understand that the LCM of 723,428,368,112,194 is 19330347792.

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

• LCM of 649, 268, 712, 566, 223
• LCM of 404, 409, 807, 584, 132
• LCM of 739, 772, 326, 277, 614
• LCM of 314, 915, 841, 220, 319
• LCM of 746, 106, 597, 640, 256

1. What is the LCM of 723, 428, 368, 112, 194?

Answer: LCM of 723, 428, 368, 112, 194 is 19330347792.

2. How to calculate the LCM of 723, 428, 368, 112, 194?

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 723, 428, 368, 112, 194.

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}.