Given numbers are 700,822,194,769,198

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

The LCM of 700,822,194,769,198 is 708193401300.

Find LCM of 700,822,194,769,198 with Prime Factorization

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

2 x 3 x 350 x 137 x 97 x 769 x 33 = 708193401300

Therefore, the lowest common multiple of 700,822,194,769,198 is 708193401300.

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.

700 x 822 x 194 x 769 x 198 = 16996641631200

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.

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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

194 : 1, 2, 97, 194

769 : 1, 769

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,822,194,769,198, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

822:2x 3x 137

194:2x 97

769:769

198:2x 3x 3x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 16996641631200/(1x24)

LCM = 16996641631200/24

LCM = 708193401300

Thus, we can understand that the LCM of 700,822,194,769,198 is 708193401300.

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

• LCM of 487, 371, 912, 295, 985
• LCM of 552, 511, 742, 240, 875
• LCM of 418, 535, 389, 815, 741
• LCM of 556, 137, 834, 536, 939
• LCM of 215, 884, 608, 711, 757

1. What is the LCM of 700, 822, 194, 769, 198?

Answer: LCM of 700, 822, 194, 769, 198 is 708193401300.

2. How to calculate the LCM of 700, 822, 194, 769, 198?

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 700, 822, 194, 769, 198.

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}.