Given numbers are 329,540,269,428,618

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

The LCM of 329,540,269,428,618 is 526699541340.

Find LCM of 329,540,269,428,618 with Prime Factorization

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

2 x 2 x 3 x 329 x 45 x 269 x 107 x 103 = 526699541340

Therefore, the lowest common multiple of 329,540,269,428,618 is 526699541340.

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.

329 x 540 x 269 x 428 x 618 = 12640788992160

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.

329 : 1, 7, 47, 329

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

269 : 1, 269

428 : 1, 2, 4, 107, 214, 428

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,540,269,428,618, is 1.

Now, the common factors can be found like this.

329:7x 47

540:2x 2x 3x 3x 3x 5

269:269

428:2x 2x 107

618:2x 3x 103

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 12640788992160/(1x24)

LCM = 12640788992160/24

LCM = 526699541340

Thus, we can understand that the LCM of 329,540,269,428,618 is 526699541340.

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

• LCM of 137, 753, 641, 500, 756
• LCM of 193, 800, 195, 875, 798
• LCM of 252, 603, 402, 457, 385
• LCM of 300, 166, 124, 284, 894
• LCM of 204, 148, 155, 569, 532

1. What is the LCM of 329, 540, 269, 428, 618?

Answer: LCM of 329, 540, 269, 428, 618 is 526699541340.

2. How to calculate the LCM of 329, 540, 269, 428, 618?

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 329, 540, 269, 428, 618.

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}.