Given numbers are 762,828,230,750

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

The LCM of 762,828,230,750 is 13144500.

Find LCM of 762,828,230,750 with Prime Factorization

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

2 x 3 x 5 x 23 x 127 x 6 x 1 x 25 = 13144500

Therefore, the lowest common multiple of 762,828,230,750 is 13144500.

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.

762 x 828 x 230 x 750 = 108836460000

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,828,230,750, is 2.

Now, the common factors can be found like this.

762:2x 3x 127

828:2x 2x 3x 3x 23

230:2x 5x 23

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 3x 5x 23 = 4140

Therefore, the value for common factors is 4140.

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 = 108836460000/(2x4140)

LCM = 108836460000/8280

LCM = 13144500

Thus, we can understand that the LCM of 762,828,230,750 is 13144500.

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

• LCM of 763, 873, 253, 447
• LCM of 409, 164, 520, 639
• LCM of 540, 210, 932, 663
• LCM of 716, 462, 369, 964
• LCM of 694, 730, 965, 499

1. What is the LCM of 762, 828, 230, 750?

Answer: LCM of 762, 828, 230, 750 is 13144500.

2. How to calculate the LCM of 762, 828, 230, 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 762, 828, 230, 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}.