Given numbers are 517,214,129,428

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

The LCM of 517,214,129,428 is 28544604.

Find LCM of 517,214,129,428 with Prime Factorization

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

2 x 107 x 517 x 1 x 129 x 2 = 28544604

Therefore, the lowest common multiple of 517,214,129,428 is 28544604.

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.

517 x 214 x 129 x 428 = 6108545256

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.

517 : 1, 11, 47, 517

214 : 1, 2, 107, 214

129 : 1, 3, 43, 129

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,214,129,428, is 1.

Now, the common factors can be found like this.

517:11x 47

214:2x 107

129:3x 43

428:2x 2x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 6108545256/(1x214)

LCM = 6108545256/214

LCM = 28544604

Thus, we can understand that the LCM of 517,214,129,428 is 28544604.

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

• LCM of 392, 770, 548, 744
• LCM of 557, 485, 452, 764
• LCM of 551, 960, 994, 598
• LCM of 372, 907, 310, 247
• LCM of 721, 761, 121, 994

1. What is the LCM of 517, 214, 129, 428?

Answer: LCM of 517, 214, 129, 428 is 28544604.

2. How to calculate the LCM of 517, 214, 129, 428?

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 517, 214, 129, 428.

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}.