LCM of 151, 395, 327, 769, 790
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 151, 395, 327, 769, 790 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 151, 395, 327, 769, 790. So, keep reading to learn more.
Given numbers are 151,395,327,769,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,395,327,769,790 is 29997021270.
Find LCM of 151,395,327,769,790 with Prime Factorization
| 5 | 151, 395, 327, 769, 790 |
| 79 | 151, 79, 327, 769, 158 |
| 151, 1, 327, 769, 2 |
Multiply the prime numbers at the bottom and the left side.
5 x 79 x 151 x 1 x 327 x 769 x 2 = 29997021270
Therefore, the lowest common multiple of 151,395,327,769,790 is 29997021270.
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.
151 x 395 x 327 x 769 x 790 = 11848823401650
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.
151 : 1, 151
395 : 1, 5, 79, 395
327 : 1, 3, 109, 327
769 : 1, 769
790 : 1, 2, 5, 10, 79, 158, 395, 790
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,395,327,769,790, is 1.
Now, the common factors can be found like this.
151:151
395:5x 79
327:3x 109
769:769
790:2x 5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 79 = 395
Therefore, the value for common factors is 395.
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 = 11848823401650/(1x395)
LCM = 11848823401650/395
LCM = 29997021270
Thus, we can understand that the LCM of 151,395,327,769,790 is 29997021270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 151, 395, 327, 769, 790
1. What is the LCM of 151, 395, 327, 769, 790?
Answer: LCM of 151, 395, 327, 769, 790 is 29997021270.
2. How to calculate the LCM of 151, 395, 327, 769, 790?
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 151, 395, 327, 769, 790.
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}.