Given numbers are 514,319,535,428

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

The LCM of 514,319,535,428 is 175443620.

Find LCM of 514,319,535,428 with Prime Factorization

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

2 x 107 x 257 x 319 x 5 x 2 = 175443620

Therefore, the lowest common multiple of 514,319,535,428 is 175443620.

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.

514 x 319 x 535 x 428 = 37544934680

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.

514 : 1, 2, 257, 514

319 : 1, 11, 29, 319

535 : 1, 5, 107, 535

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 514,319,535,428, is 1.

Now, the common factors can be found like this.

514:2x 257

319:11x 29

535:5x 107

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 = 37544934680/(1x214)

LCM = 37544934680/214

LCM = 175443620

Thus, we can understand that the LCM of 514,319,535,428 is 175443620.

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

• LCM of 148, 272, 405, 462
• LCM of 624, 936, 371, 375
• LCM of 624, 904, 307, 315
• LCM of 241, 236, 871, 478
• LCM of 667, 995, 702, 554

1. What is the LCM of 514, 319, 535, 428?

Answer: LCM of 514, 319, 535, 428 is 175443620.

2. How to calculate the LCM of 514, 319, 535, 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 514, 319, 535, 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}.