Given numbers are 223,432,305,498,942

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

The LCM of 223,432,305,498,942 is 382883096880.

Find LCM of 223,432,305,498,942 with Prime Factorization

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

2 x 3 x 223 x 72 x 305 x 83 x 157 = 382883096880

Therefore, the lowest common multiple of 223,432,305,498,942 is 382883096880.

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.

223 x 432 x 305 x 498 x 942 = 13783791487680

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.

223 : 1, 223

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

305 : 1, 5, 61, 305

498 : 1, 2, 3, 6, 83, 166, 249, 498

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,432,305,498,942, is 1.

Now, the common factors can be found like this.

223:223

432:2x 2x 2x 2x 3x 3x 3

305:5x 61

498:2x 3x 83

942:2x 3x 157

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 13783791487680/(1x36)

LCM = 13783791487680/36

LCM = 382883096880

Thus, we can understand that the LCM of 223,432,305,498,942 is 382883096880.

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

• LCM of 579, 979, 158, 123, 385
• LCM of 619, 949, 228, 310, 417
• LCM of 673, 495, 988, 641, 228
• LCM of 237, 755, 574, 856, 309
• LCM of 498, 246, 698, 312, 860

1. What is the LCM of 223, 432, 305, 498, 942?

Answer: LCM of 223, 432, 305, 498, 942 is 382883096880.

2. How to calculate the LCM of 223, 432, 305, 498, 942?

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 223, 432, 305, 498, 942.

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}.