Given numbers are 263,428,690,461,198

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

The LCM of 263,428,690,461,198 is 590790465540.

Find LCM of 263,428,690,461,198 with Prime Factorization

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

2 x 3 x 263 x 214 x 115 x 461 x 33 = 590790465540

Therefore, the lowest common multiple of 263,428,690,461,198 is 590790465540.

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.

263 x 428 x 690 x 461 x 198 = 7089485586480

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.

263 : 1, 263

428 : 1, 2, 4, 107, 214, 428

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

461 : 1, 461

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 263,428,690,461,198, is 1.

Now, the common factors can be found like this.

263:263

428:2x 2x 107

690:2x 3x 5x 23

461:461

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 3 = 12

Therefore, the value for common factors is 12.

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 = 7089485586480/(1x12)

LCM = 7089485586480/12

LCM = 590790465540

Thus, we can understand that the LCM of 263,428,690,461,198 is 590790465540.

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

• LCM of 915, 820, 830, 204, 154
• LCM of 412, 742, 872, 523, 807
• LCM of 664, 365, 422, 354, 932
• LCM of 992, 488, 626, 856, 990
• LCM of 424, 223, 920, 245, 324

1. What is the LCM of 263, 428, 690, 461, 198?

Answer: LCM of 263, 428, 690, 461, 198 is 590790465540.

2. How to calculate the LCM of 263, 428, 690, 461, 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 263, 428, 690, 461, 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}.