Given numbers are 276,289,428,438

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

The LCM of 276,289,428,438 is 623036604.

Find LCM of 276,289,428,438 with Prime Factorization

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

2 x 2 x 3 x 23 x 289 x 107 x 73 = 623036604

Therefore, the lowest common multiple of 276,289,428,438 is 623036604.

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.

276 x 289 x 428 x 438 = 14952878496

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

289 : 1, 17, 289

428 : 1, 2, 4, 107, 214, 428

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,289,428,438, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

289:17x 17

428:2x 2x 107

438:2x 3x 73

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 3 = 24

Therefore, the value for common factors is 24.

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 = 14952878496/(1x24)

LCM = 14952878496/24

LCM = 623036604

Thus, we can understand that the LCM of 276,289,428,438 is 623036604.

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

• LCM of 914, 353, 808, 411
• LCM of 358, 296, 277, 948
• LCM of 740, 960, 857, 185
• LCM of 945, 391, 468, 220
• LCM of 262, 264, 522, 835

1. What is the LCM of 276, 289, 428, 438?

Answer: LCM of 276, 289, 428, 438 is 623036604.

2. How to calculate the LCM of 276, 289, 428, 438?

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 276, 289, 428, 438.

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}.