Given numbers are 588,296,338,128,261

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

The LCM of 588,296,338,128,261 is 10236110976.

Find LCM of 588,296,338,128,261 with Prime Factorization

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

2 x 2 x 2 x 3 x 49 x 37 x 169 x 16 x 87 = 10236110976

Therefore, the lowest common multiple of 588,296,338,128,261 is 10236110976.

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.

588 x 296 x 338 x 128 x 261 = 1965333307392

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.

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

296 : 1, 2, 4, 8, 37, 74, 148, 296

338 : 1, 2, 13, 26, 169, 338

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

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,296,338,128,261, is 1.

Now, the common factors can be found like this.

588:2x 2x 3x 7x 7

296:2x 2x 2x 37

338:2x 13x 13

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

261:3x 3x 29

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 3 = 192

Therefore, the value for common factors is 192.

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 = 1965333307392/(1x192)

LCM = 1965333307392/192

LCM = 10236110976

Thus, we can understand that the LCM of 588,296,338,128,261 is 10236110976.

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

• LCM of 974, 786, 190, 955, 924
• LCM of 753, 133, 738, 149, 109
• LCM of 448, 569, 243, 731, 316
• LCM of 631, 567, 353, 769, 200
• LCM of 519, 198, 938, 761, 435

1. What is the LCM of 588, 296, 338, 128, 261?

Answer: LCM of 588, 296, 338, 128, 261 is 10236110976.

2. How to calculate the LCM of 588, 296, 338, 128, 261?

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 588, 296, 338, 128, 261.

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}.