Given numbers are 163,292,900,128,257

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

The LCM of 163,292,900,128,257 is 88071638400.

Find LCM of 163,292,900,128,257 with Prime Factorization

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

2 x 2 x 163 x 73 x 225 x 32 x 257 = 88071638400

Therefore, the lowest common multiple of 163,292,900,128,257 is 88071638400.

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.

163 x 292 x 900 x 128 x 257 = 1409146214400

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.

163 : 1, 163

292 : 1, 2, 4, 73, 146, 292

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

128 : 1, 2, 4, 8, 16, 32, 64, 128

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,292,900,128,257, is 1.

Now, the common factors can be found like this.

163:163

292:2x 2x 73

900:2x 2x 3x 3x 5x 5

128:2x 2x 2x 2x 2x 2x 2

257:257

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 2 = 16

Therefore, the value for common factors is 16.

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 = 1409146214400/(1x16)

LCM = 1409146214400/16

LCM = 88071638400

Thus, we can understand that the LCM of 163,292,900,128,257 is 88071638400.

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

• LCM of 347, 492, 106, 447, 229
• LCM of 643, 746, 704, 150, 419
• LCM of 537, 418, 782, 584, 741
• LCM of 406, 859, 412, 174, 366
• LCM of 804, 867, 513, 500, 204

1. What is the LCM of 163, 292, 900, 128, 257?

Answer: LCM of 163, 292, 900, 128, 257 is 88071638400.

2. How to calculate the LCM of 163, 292, 900, 128, 257?

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 163, 292, 900, 128, 257.

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}.