LCM of 195, 156, 716, 808, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 195, 156, 716, 808, 665 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 195, 156, 716, 808, 665. So, keep reading to learn more.
Given numbers are 195,156,716,808,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,156,716,808,665 is 3751030920.
Find LCM of 195,156,716,808,665 with Prime Factorization
| 2 | 195, 156, 716, 808, 665 |
| 2 | 195, 78, 358, 404, 665 |
| 3 | 195, 39, 179, 202, 665 |
| 5 | 65, 13, 179, 202, 665 |
| 13 | 13, 13, 179, 202, 133 |
| 1, 1, 179, 202, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 1 x 179 x 202 x 133 = 3751030920
Therefore, the lowest common multiple of 195,156,716,808,665 is 3751030920.
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.
195 x 156 x 716 x 808 x 665 = 11703216470400
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
716 : 1, 2, 4, 179, 358, 716
808 : 1, 2, 4, 8, 101, 202, 404, 808
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,156,716,808,665, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
156:2x 2x 3x 13
716:2x 2x 179
808:2x 2x 2x 101
665:5x 7x 19
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 2x 3x 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 11703216470400/(1x3120)
LCM = 11703216470400/3120
LCM = 3751030920
Thus, we can understand that the LCM of 195,156,716,808,665 is 3751030920.
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FAQs on LCM of 195, 156, 716, 808, 665
1. What is the LCM of 195, 156, 716, 808, 665?
Answer: LCM of 195, 156, 716, 808, 665 is 3751030920.
2. How to calculate the LCM of 195, 156, 716, 808, 665?
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 195, 156, 716, 808, 665.
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}.