Given numbers are 226,470,271,376

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

The LCM of 226,470,271,376 is 57571240.

Find LCM of 226,470,271,376 with Prime Factorization

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

2 x 47 x 113 x 5 x 271 x 4 = 57571240

Therefore, the lowest common multiple of 226,470,271,376 is 57571240.

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.

226 x 470 x 271 x 376 = 10823393120

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.

226 : 1, 2, 113, 226

470 : 1, 2, 5, 10, 47, 94, 235, 470

271 : 1, 271

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,470,271,376, is 1.

Now, the common factors can be found like this.

226:2x 113

470:2x 5x 47

271:271

376:2x 2x 2x 47

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 47 = 188

Therefore, the value for common factors is 188.

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 = 10823393120/(1x188)

LCM = 10823393120/188

LCM = 57571240

Thus, we can understand that the LCM of 226,470,271,376 is 57571240.

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

• LCM of 210, 633, 960, 265
• LCM of 250, 314, 696, 973
• LCM of 829, 637, 865, 458
• LCM of 469, 377, 985, 623
• LCM of 531, 494, 300, 655

1. What is the LCM of 226, 470, 271, 376?

Answer: LCM of 226, 470, 271, 376 is 57571240.

2. How to calculate the LCM of 226, 470, 271, 376?

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 226, 470, 271, 376.

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}.