Given numbers are 234,540,750,872,641

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

The LCM of 234,540,750,872,641 is 24524019000.

Find LCM of 234,540,750,872,641 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 13 x 3 x 25 x 218 x 641 = 24524019000

Therefore, the lowest common multiple of 234,540,750,872,641 is 24524019000.

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.

234 x 540 x 750 x 872 x 641 = 52971881040000

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

872 : 1, 2, 4, 8, 109, 218, 436, 872

641 : 1, 641

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,540,750,872,641, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

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

750:2x 3x 5x 5x 5

872:2x 2x 2x 109

641:641

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 2x 3x 3x 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 52971881040000/(1x2160)

LCM = 52971881040000/2160

LCM = 24524019000

Thus, we can understand that the LCM of 234,540,750,872,641 is 24524019000.

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

• LCM of 553, 493, 191, 498, 449
• LCM of 311, 943, 677, 596, 893
• LCM of 853, 389, 950, 105, 830
• LCM of 321, 774, 466, 914, 515
• LCM of 296, 414, 108, 459, 209

1. What is the LCM of 234, 540, 750, 872, 641?

Answer: LCM of 234, 540, 750, 872, 641 is 24524019000.

2. How to calculate the LCM of 234, 540, 750, 872, 641?

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 234, 540, 750, 872, 641.

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}.