Given numbers are 770,121,800,690

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

The LCM of 770,121,800,690 is 46754400.

Find LCM of 770,121,800,690 with Prime Factorization

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

2 x 5 x 11 x 7 x 11 x 80 x 69 = 46754400

Therefore, the lowest common multiple of 770,121,800,690 is 46754400.

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.

770 x 121 x 800 x 690 = 51429840000

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

121 : 1, 11, 121

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,121,800,690, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

121:11x 11

800:2x 2x 2x 2x 2x 5x 5

690:2x 3x 5x 23

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 5x 5x 11 = 1100

Therefore, the value for common factors is 1100.

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 = 51429840000/(1x1100)

LCM = 51429840000/1100

LCM = 46754400

Thus, we can understand that the LCM of 770,121,800,690 is 46754400.

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

• LCM of 920, 130, 305, 628
• LCM of 282, 657, 858, 904
• LCM of 239, 656, 249, 779
• LCM of 242, 475, 662, 148
• LCM of 160, 345, 870, 703

1. What is the LCM of 770, 121, 800, 690?

Answer: LCM of 770, 121, 800, 690 is 46754400.

2. How to calculate the LCM of 770, 121, 800, 690?

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 770, 121, 800, 690.

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}.