LCM of 395, 218, 390, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 395, 218, 390, 763 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, 218, 390, 763. So, keep reading to learn more.
Given numbers are 395,218,390,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,218,390,763 is 23508030.
Find LCM of 395,218,390,763 with Prime Factorization
| 2 | 395, 218, 390, 763 |
| 5 | 395, 109, 195, 763 |
| 109 | 79, 109, 39, 763 |
| 79, 1, 39, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 109 x 79 x 1 x 39 x 7 = 23508030
Therefore, the lowest common multiple of 395,218,390,763 is 23508030.
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 218 x 390 x 763 = 25623752700
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
218 : 1, 2, 109, 218
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,218,390,763, is 1.
Now, the common factors can be found like this.
395:5x 79
218:2x 109
390:2x 3x 5x 13
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 109 = 1090
Therefore, the value for common factors is 1090.
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 = 25623752700/(1x1090)
LCM = 25623752700/1090
LCM = 23508030
Thus, we can understand that the LCM of 395,218,390,763 is 23508030.
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FAQs on LCM of 395, 218, 390, 763
1. What is the LCM of 395, 218, 390, 763?
Answer: LCM of 395, 218, 390, 763 is 23508030.
2. How to calculate the LCM of 395, 218, 390, 763?
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, 218, 390, 763.
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}.