Given numbers are 750,828,230,956,763

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

The LCM of 750,828,230,956,763 is 18873949500.

Find LCM of 750,828,230,956,763 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 25 x 3 x 1 x 239 x 763 = 18873949500

Therefore, the lowest common multiple of 750,828,230,956,763 is 18873949500.

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.

750 x 828 x 230 x 956 x 763 = 104184201240000

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.

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

230 : 1, 2, 5, 10, 23, 46, 115, 230

956 : 1, 2, 4, 239, 478, 956

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,828,230,956,763, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

828:2x 2x 3x 3x 23

230:2x 5x 23

956:2x 2x 239

763:7x 109

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 5x 23 = 5520

Therefore, the value for common factors is 5520.

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 = 104184201240000/(1x5520)

LCM = 104184201240000/5520

LCM = 18873949500

Thus, we can understand that the LCM of 750,828,230,956,763 is 18873949500.

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

• LCM of 369, 513, 666, 320, 245
• LCM of 303, 213, 447, 990, 263
• LCM of 152, 937, 844, 712, 310
• LCM of 502, 813, 461, 228, 278
• LCM of 183, 233, 112, 949, 582

1. What is the LCM of 750, 828, 230, 956, 763?

Answer: LCM of 750, 828, 230, 956, 763 is 18873949500.

2. How to calculate the LCM of 750, 828, 230, 956, 763?

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 750, 828, 230, 956, 763.

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}.