Given numbers are 434,188,561,803,750

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

The LCM of 434,188,561,803,750 is 208839823500.

Find LCM of 434,188,561,803,750 with Prime Factorization

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

2 x 3 x 11 x 217 x 94 x 17 x 73 x 125 = 208839823500

Therefore, the lowest common multiple of 434,188,561,803,750 is 208839823500.

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.

434 x 188 x 561 x 803 x 750 = 27566856702000

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

188 : 1, 2, 4, 47, 94, 188

561 : 1, 3, 11, 17, 33, 51, 187, 561

803 : 1, 11, 73, 803

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,188,561,803,750, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

188:2x 2x 47

561:3x 11x 17

803:11x 73

750:2x 3x 5x 5x 5

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 27566856702000/(1x132)

LCM = 27566856702000/132

LCM = 208839823500

Thus, we can understand that the LCM of 434,188,561,803,750 is 208839823500.

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

• LCM of 642, 356, 300, 203, 215
• LCM of 404, 390, 836, 951, 870
• LCM of 877, 994, 584, 375, 601
• LCM of 590, 392, 184, 757, 425
• LCM of 379, 287, 761, 978, 223

1. What is the LCM of 434, 188, 561, 803, 750?

Answer: LCM of 434, 188, 561, 803, 750 is 208839823500.

2. How to calculate the LCM of 434, 188, 561, 803, 750?

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 434, 188, 561, 803, 750.

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}.