Given numbers are 687,152,822,750

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

The LCM of 687,152,822,750 is 1788261000.

Find LCM of 687,152,822,750 with Prime Factorization

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

2 x 3 x 229 x 76 x 137 x 125 = 1788261000

Therefore, the lowest common multiple of 687,152,822,750 is 1788261000.

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.

687 x 152 x 822 x 750 = 64377396000

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.

687 : 1, 3, 229, 687

152 : 1, 2, 4, 8, 19, 38, 76, 152

822 : 1, 2, 3, 6, 137, 274, 411, 822

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 687,152,822,750, is 1.

Now, the common factors can be found like this.

687:3x 229

152:2x 2x 2x 19

822:2x 3x 137

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 3 = 36

Therefore, the value for common factors is 36.

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 = 64377396000/(1x36)

LCM = 64377396000/36

LCM = 1788261000

Thus, we can understand that the LCM of 687,152,822,750 is 1788261000.

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

• LCM of 610, 383, 498, 882
• LCM of 439, 309, 895, 358
• LCM of 742, 307, 782, 626
• LCM of 404, 500, 166, 745
• LCM of 791, 332, 150, 905

1. What is the LCM of 687, 152, 822, 750?

Answer: LCM of 687, 152, 822, 750 is 1788261000.

2. How to calculate the LCM of 687, 152, 822, 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 687, 152, 822, 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}.