Given numbers are 198,918,715,133,816

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

The LCM of 198,918,715,133,816 is 698377680.

Find LCM of 198,918,715,133,816 with Prime Factorization

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

2 x 3 x 3 x 11 x 17 x 1 x 3 x 65 x 133 x 8 = 698377680

Therefore, the lowest common multiple of 198,918,715,133,816 is 698377680.

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.

198 x 918 x 715 x 133 x 816 = 14104435625280

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.

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

715 : 1, 5, 11, 13, 55, 65, 143, 715

133 : 1, 7, 19, 133

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,918,715,133,816, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

918:2x 3x 3x 3x 17

715:5x 11x 13

133:7x 19

816:2x 2x 2x 2x 3x 17

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 3x 3x 3x 11x 17 = 20196

Therefore, the value for common factors is 20196.

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 = 14104435625280/(1x20196)

LCM = 14104435625280/20196

LCM = 698377680

Thus, we can understand that the LCM of 198,918,715,133,816 is 698377680.

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

• LCM of 140, 624, 179, 591, 947
• LCM of 118, 302, 503, 752, 192
• LCM of 617, 205, 128, 287, 547
• LCM of 465, 680, 756, 130, 181
• LCM of 173, 121, 873, 240, 497

1. What is the LCM of 198, 918, 715, 133, 816?

Answer: LCM of 198, 918, 715, 133, 816 is 698377680.

2. How to calculate the LCM of 198, 918, 715, 133, 816?

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 198, 918, 715, 133, 816.

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}.