Given numbers are 681,975,832,198

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

The LCM of 681,975,832,198 is 467438400.

Find LCM of 681,975,832,198 with Prime Factorization

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

2 x 3 x 13 x 227 x 25 x 32 x 33 = 467438400

Therefore, the lowest common multiple of 681,975,832,198 is 467438400.

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.

681 x 975 x 832 x 198 = 109380585600

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.

681 : 1, 3, 227, 681

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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 681,975,832,198, is 1.

Now, the common factors can be found like this.

681:3x 227

975:3x 5x 5x 13

832:2x 2x 2x 2x 2x 2x 13

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 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 109380585600/(1x234)

LCM = 109380585600/234

LCM = 467438400

Thus, we can understand that the LCM of 681,975,832,198 is 467438400.

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

• LCM of 109, 432, 930, 351
• LCM of 717, 870, 970, 500
• LCM of 405, 857, 499, 821
• LCM of 402, 688, 887, 165
• LCM of 433, 840, 200, 215

1. What is the LCM of 681, 975, 832, 198?

Answer: LCM of 681, 975, 832, 198 is 467438400.

2. How to calculate the LCM of 681, 975, 832, 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 681, 975, 832, 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}.