LCM of 395, 365, 309, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 395, 365, 309, 120 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 395, 365, 309, 120. So, keep reading to learn more.
Given numbers are 395,365,309,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,365,309,120 is 71280120.
Find LCM of 395,365,309,120 with Prime Factorization
| 3 | 395, 365, 309, 120 |
| 5 | 395, 365, 103, 40 |
| 79, 73, 103, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 79 x 73 x 103 x 8 = 71280120
Therefore, the lowest common multiple of 395,365,309,120 is 71280120.
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.
395 x 365 x 309 x 120 = 5346009000
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.
395 : 1, 5, 79, 395
365 : 1, 5, 73, 365
309 : 1, 3, 103, 309
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,365,309,120, is 1.
Now, the common factors can be found like this.
395:5x 79
365:5x 73
309:3x 103
120:2x 2x 2x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5 = 75
Therefore, the value for common factors is 75.
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 = 5346009000/(1x75)
LCM = 5346009000/75
LCM = 71280120
Thus, we can understand that the LCM of 395,365,309,120 is 71280120.
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FAQs on LCM of 395, 365, 309, 120
1. What is the LCM of 395, 365, 309, 120?
Answer: LCM of 395, 365, 309, 120 is 71280120.
2. How to calculate the LCM of 395, 365, 309, 120?
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 395, 365, 309, 120.
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}.