Given numbers are 514,310,424,371

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

The LCM of 514,310,424,371 is 118230280.

Find LCM of 514,310,424,371 with Prime Factorization

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

2 x 53 x 257 x 155 x 4 x 7 = 118230280

Therefore, the lowest common multiple of 514,310,424,371 is 118230280.

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 310 x 424 x 371 = 25064819360

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

424 : 1, 2, 4, 8, 53, 106, 212, 424

371 : 1, 7, 53, 371

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,310,424,371, is 1.

Now, the common factors can be found like this.

514:2x 257

310:2x 5x 31

424:2x 2x 2x 53

371:7x 53

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 53 = 212

Therefore, the value for common factors is 212.

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 = 25064819360/(1x212)

LCM = 25064819360/212

LCM = 118230280

Thus, we can understand that the LCM of 514,310,424,371 is 118230280.

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

• LCM of 254, 102, 715, 592
• LCM of 353, 516, 838, 494
• LCM of 315, 333, 265, 200
• LCM of 434, 807, 960, 744
• LCM of 618, 449, 686, 492

1. What is the LCM of 514, 310, 424, 371?

Answer: LCM of 514, 310, 424, 371 is 118230280.

2. How to calculate the LCM of 514, 310, 424, 371?

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, 310, 424, 371.

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}.