LCM of 771, 758, 822, 705, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 758, 822, 705, 161 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 771, 758, 822, 705, 161. So, keep reading to learn more.
Given numbers are 771,758,822,705,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,758,822,705,161 is 3029269339110.
Find LCM of 771,758,822,705,161 with Prime Factorization
| 2 | 771, 758, 822, 705, 161 |
| 3 | 771, 379, 411, 705, 161 |
| 257, 379, 137, 235, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 257 x 379 x 137 x 235 x 161 = 3029269339110
Therefore, the lowest common multiple of 771,758,822,705,161 is 3029269339110.
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.
771 x 758 x 822 x 705 x 161 = 54526848103980
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.
771 : 1, 3, 257, 771
758 : 1, 2, 379, 758
822 : 1, 2, 3, 6, 137, 274, 411, 822
705 : 1, 3, 5, 15, 47, 141, 235, 705
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,758,822,705,161, is 1.
Now, the common factors can be found like this.
771:3x 257
758:2x 379
822:2x 3x 137
705:3x 5x 47
161:7x 23
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 3 = 18
Therefore, the value for common factors is 18.
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 = 54526848103980/(1x18)
LCM = 54526848103980/18
LCM = 3029269339110
Thus, we can understand that the LCM of 771,758,822,705,161 is 3029269339110.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 771, 758, 822, 705, 161
1. What is the LCM of 771, 758, 822, 705, 161?
Answer: LCM of 771, 758, 822, 705, 161 is 3029269339110.
2. How to calculate the LCM of 771, 758, 822, 705, 161?
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 771, 758, 822, 705, 161.
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}.