Given numbers are 509,514,701,338

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

The LCM of 509,514,701,338 is 30994570594.

Find LCM of 509,514,701,338 with Prime Factorization

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

2 x 509 x 257 x 701 x 169 = 30994570594

Therefore, the lowest common multiple of 509,514,701,338 is 30994570594.

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.

509 x 514 x 701 x 338 = 61989141188

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.

509 : 1, 509

514 : 1, 2, 257, 514

701 : 1, 701

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,514,701,338, is 1.

Now, the common factors can be found like this.

509:509

514:2x 257

701:701

338:2x 13x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 61989141188/(1x2)

LCM = 61989141188/2

LCM = 30994570594

Thus, we can understand that the LCM of 509,514,701,338 is 30994570594.

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

• LCM of 272, 802, 542, 152
• LCM of 522, 117, 336, 598
• LCM of 215, 251, 664, 550
• LCM of 517, 585, 222, 509
• LCM of 414, 922, 168, 430

1. What is the LCM of 509, 514, 701, 338?

Answer: LCM of 509, 514, 701, 338 is 30994570594.

2. How to calculate the LCM of 509, 514, 701, 338?

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 509, 514, 701, 338.

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}.