Given numbers are 228,271,716,341

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

The LCM of 228,271,716,341 is 3771477732.

Find LCM of 228,271,716,341 with Prime Factorization

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

2 x 2 x 57 x 271 x 179 x 341 = 3771477732

Therefore, the lowest common multiple of 228,271,716,341 is 3771477732.

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.

228 x 271 x 716 x 341 = 15085910928

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

271 : 1, 271

716 : 1, 2, 4, 179, 358, 716

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,271,716,341, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

271:271

716:2x 2x 179

341:11x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15085910928/(1x4)

LCM = 15085910928/4

LCM = 3771477732

Thus, we can understand that the LCM of 228,271,716,341 is 3771477732.

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

• LCM of 505, 779, 491, 418
• LCM of 920, 359, 834, 503
• LCM of 535, 752, 883, 523
• LCM of 660, 600, 223, 881
• LCM of 461, 198, 881, 437

1. What is the LCM of 228, 271, 716, 341?

Answer: LCM of 228, 271, 716, 341 is 3771477732.

2. How to calculate the LCM of 228, 271, 716, 341?

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 228, 271, 716, 341.

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}.