Given numbers are 288,257,193,437,965

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

The LCM of 288,257,193,437,965 is 31212917280.

Find LCM of 288,257,193,437,965 with Prime Factorization

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

193 x 288 x 257 x 1 x 437 x 5 = 31212917280

Therefore, the lowest common multiple of 288,257,193,437,965 is 31212917280.

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.

288 x 257 x 193 x 437 x 965 = 6024093035040

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

257 : 1, 257

193 : 1, 193

437 : 1, 19, 23, 437

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,257,193,437,965, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

257:257

193:193

437:19x 23

965:5x 193

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

193 = 193

Therefore, the value for common factors is 193.

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 = 6024093035040/(1x193)

LCM = 6024093035040/193

LCM = 31212917280

Thus, we can understand that the LCM of 288,257,193,437,965 is 31212917280.

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

• LCM of 985, 486, 269, 589, 570
• LCM of 361, 501, 260, 483, 607
• LCM of 205, 251, 508, 451, 177
• LCM of 363, 940, 681, 799, 265
• LCM of 445, 178, 972, 483, 804

1. What is the LCM of 288, 257, 193, 437, 965?

Answer: LCM of 288, 257, 193, 437, 965 is 31212917280.

2. How to calculate the LCM of 288, 257, 193, 437, 965?

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 288, 257, 193, 437, 965.

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}.