Given numbers are 816,194,902,765,201

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

The LCM of 816,194,902,765,201 is 35876039760.

Find LCM of 816,194,902,765,201 with Prime Factorization

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

2 x 3 x 17 x 8 x 97 x 451 x 15 x 67 = 35876039760

Therefore, the lowest common multiple of 816,194,902,765,201 is 35876039760.

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.

816 x 194 x 902 x 765 x 201 = 21956136333120

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.

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

194 : 1, 2, 97, 194

902 : 1, 2, 11, 22, 41, 82, 451, 902

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,194,902,765,201, is 1.

Now, the common factors can be found like this.

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

194:2x 97

902:2x 11x 41

765:3x 3x 5x 17

201:3x 67

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 17 = 612

Therefore, the value for common factors is 612.

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 = 21956136333120/(1x612)

LCM = 21956136333120/612

LCM = 35876039760

Thus, we can understand that the LCM of 816,194,902,765,201 is 35876039760.

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

• LCM of 879, 955, 703, 565, 571
• LCM of 988, 262, 185, 725, 972
• LCM of 105, 180, 299, 244, 211
• LCM of 435, 478, 748, 191, 653
• LCM of 392, 188, 596, 624, 225

1. What is the LCM of 816, 194, 902, 765, 201?

Answer: LCM of 816, 194, 902, 765, 201 is 35876039760.

2. How to calculate the LCM of 816, 194, 902, 765, 201?

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 816, 194, 902, 765, 201.

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}.