Given numbers are 510,118,514,335

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

The LCM of 510,118,514,335 is 518119710.

Find LCM of 510,118,514,335 with Prime Factorization

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

2 x 5 x 51 x 59 x 257 x 67 = 518119710

Therefore, the lowest common multiple of 510,118,514,335 is 518119710.

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.

510 x 118 x 514 x 335 = 10362394200

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

118 : 1, 2, 59, 118

514 : 1, 2, 257, 514

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,118,514,335, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

118:2x 59

514:2x 257

335:5x 67

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 5 = 20

Therefore, the value for common factors is 20.

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 = 10362394200/(1x20)

LCM = 10362394200/20

LCM = 518119710

Thus, we can understand that the LCM of 510,118,514,335 is 518119710.

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

• LCM of 297, 111, 244, 894
• LCM of 515, 957, 599, 803
• LCM of 591, 526, 191, 170
• LCM of 137, 908, 342, 502
• LCM of 117, 572, 327, 801

1. What is the LCM of 510, 118, 514, 335?

Answer: LCM of 510, 118, 514, 335 is 518119710.

2. How to calculate the LCM of 510, 118, 514, 335?

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 510, 118, 514, 335.

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}.