Given numbers are 821,914,920,750,767

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

The LCM of 821,914,920,750,767 is 19856550831000.

Find LCM of 821,914,920,750,767 with Prime Factorization

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

2 x 5 x 821 x 457 x 92 x 75 x 767 = 19856550831000

Therefore, the lowest common multiple of 821,914,920,750,767 is 19856550831000.

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.

821 x 914 x 920 x 750 x 767 = 397131016620000

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.

821 : 1, 821

914 : 1, 2, 457, 914

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,914,920,750,767, is 1.

Now, the common factors can be found like this.

821:821

914:2x 457

920:2x 2x 2x 5x 23

750:2x 3x 5x 5x 5

767:13x 59

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 5 = 20

Therefore, the value for common factors is 20.

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 = 397131016620000/(1x20)

LCM = 397131016620000/20

LCM = 19856550831000

Thus, we can understand that the LCM of 821,914,920,750,767 is 19856550831000.

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

• LCM of 119, 949, 401, 139, 878
• LCM of 565, 783, 111, 960, 241
• LCM of 150, 682, 195, 744, 943
• LCM of 842, 245, 802, 974, 842
• LCM of 251, 274, 378, 924, 360

1. What is the LCM of 821, 914, 920, 750, 767?

Answer: LCM of 821, 914, 920, 750, 767 is 19856550831000.

2. How to calculate the LCM of 821, 914, 920, 750, 767?

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 821, 914, 920, 750, 767.

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}.