Given numbers are 259,219,272,296

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

The LCM of 259,219,272,296 is 15428112.

Find LCM of 259,219,272,296 with Prime Factorization

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

2 x 2 x 2 x 37 x 7 x 219 x 34 x 1 = 15428112

Therefore, the lowest common multiple of 259,219,272,296 is 15428112.

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.

259 x 219 x 272 x 296 = 4566721152

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.

259 : 1, 7, 37, 259

219 : 1, 3, 73, 219

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,219,272,296, is 1.

Now, the common factors can be found like this.

259:7x 37

219:3x 73

272:2x 2x 2x 2x 17

296:2x 2x 2x 37

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 37 = 296

Therefore, the value for common factors is 296.

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 = 4566721152/(1x296)

LCM = 4566721152/296

LCM = 15428112

Thus, we can understand that the LCM of 259,219,272,296 is 15428112.

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

• LCM of 472, 790, 526, 899
• LCM of 211, 541, 274, 223
• LCM of 264, 340, 898, 284
• LCM of 603, 667, 185, 280
• LCM of 822, 654, 943, 839

1. What is the LCM of 259, 219, 272, 296?

Answer: LCM of 259, 219, 272, 296 is 15428112.

2. How to calculate the LCM of 259, 219, 272, 296?

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 259, 219, 272, 296.

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}.