Given numbers are 514,508,713,414

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

The LCM of 514,508,713,414 is 837777852.

Find LCM of 514,508,713,414 with Prime Factorization

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

2 x 23 x 257 x 254 x 31 x 9 = 837777852

Therefore, the lowest common multiple of 514,508,713,414 is 837777852.

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 508 x 713 x 414 = 77075562384

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

508 : 1, 2, 4, 127, 254, 508

713 : 1, 23, 31, 713

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,508,713,414, is 1.

Now, the common factors can be found like this.

514:2x 257

508:2x 2x 127

713:23x 31

414:2x 3x 3x 23

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 23 = 92

Therefore, the value for common factors is 92.

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 = 77075562384/(1x92)

LCM = 77075562384/92

LCM = 837777852

Thus, we can understand that the LCM of 514,508,713,414 is 837777852.

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

• LCM of 296, 258, 409, 393
• LCM of 866, 680, 406, 906
• LCM of 661, 674, 810, 456
• LCM of 158, 640, 975, 459
• LCM of 497, 216, 643, 212

1. What is the LCM of 514, 508, 713, 414?

Answer: LCM of 514, 508, 713, 414 is 837777852.

2. How to calculate the LCM of 514, 508, 713, 414?

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, 508, 713, 414.

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}.