LCM of 613, 390, 678, 565, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 613, 390, 678, 565, 665 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 613, 390, 678, 565, 665. So, keep reading to learn more.
Given numbers are 613,390,678,565,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 613,390,678,565,665 is 3592983030.
Find LCM of 613,390,678,565,665 with Prime Factorization
| 2 | 613, 390, 678, 565, 665 |
| 3 | 613, 195, 339, 565, 665 |
| 5 | 613, 65, 113, 565, 665 |
| 113 | 613, 13, 113, 113, 133 |
| 613, 13, 1, 1, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 113 x 613 x 13 x 1 x 1 x 133 = 3592983030
Therefore, the lowest common multiple of 613,390,678,565,665 is 3592983030.
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.
613 x 390 x 678 x 565 x 665 = 60901062358500
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.
613 : 1, 613
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
678 : 1, 2, 3, 6, 113, 226, 339, 678
565 : 1, 5, 113, 565
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,390,678,565,665, is 1.
Now, the common factors can be found like this.
613:613
390:2x 3x 5x 13
678:2x 3x 113
565:5x 113
665:5x 7x 19
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 113 = 16950
Therefore, the value for common factors is 16950.
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 = 60901062358500/(1x16950)
LCM = 60901062358500/16950
LCM = 3592983030
Thus, we can understand that the LCM of 613,390,678,565,665 is 3592983030.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 613, 390, 678, 565, 665
1. What is the LCM of 613, 390, 678, 565, 665?
Answer: LCM of 613, 390, 678, 565, 665 is 3592983030.
2. How to calculate the LCM of 613, 390, 678, 565, 665?
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 613, 390, 678, 565, 665.
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}.