LCM of 395, 820, 961, 102, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 395, 820, 961, 102, 615 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, 820, 961, 102, 615. So, keep reading to learn more.
Given numbers are 395,820,961,102,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,820,961,102,615 is 3174932580.
Find LCM of 395,820,961,102,615 with Prime Factorization
| 2 | 395, 820, 961, 102, 615 |
| 3 | 395, 410, 961, 51, 615 |
| 5 | 395, 410, 961, 17, 205 |
| 41 | 79, 82, 961, 17, 41 |
| 79, 2, 961, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 41 x 79 x 2 x 961 x 17 x 1 = 3174932580
Therefore, the lowest common multiple of 395,820,961,102,615 is 3174932580.
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 820 x 961 x 102 x 615 = 19525835367000
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
961 : 1, 31, 961
102 : 1, 2, 3, 6, 17, 34, 51, 102
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,820,961,102,615, is 1.
Now, the common factors can be found like this.
395:5x 79
820:2x 2x 5x 41
961:31x 31
102:2x 3x 17
615:3x 5x 41
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 5x 5x 41 = 6150
Therefore, the value for common factors is 6150.
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 = 19525835367000/(1x6150)
LCM = 19525835367000/6150
LCM = 3174932580
Thus, we can understand that the LCM of 395,820,961,102,615 is 3174932580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 395, 820, 961, 102, 615
1. What is the LCM of 395, 820, 961, 102, 615?
Answer: LCM of 395, 820, 961, 102, 615 is 3174932580.
2. How to calculate the LCM of 395, 820, 961, 102, 615?
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, 820, 961, 102, 615.
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}.