LCM of 206, 616, 553, 824, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 206, 616, 553, 824, 614 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 206, 616, 553, 824, 614. So, keep reading to learn more.
Given numbers are 206,616,553,824,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,616,553,824,614 is 1538804344.
Find LCM of 206,616,553,824,614 with Prime Factorization
| 2 | 206, 616, 553, 824, 614 |
| 2 | 103, 308, 553, 412, 307 |
| 2 | 103, 154, 553, 206, 307 |
| 7 | 103, 77, 553, 103, 307 |
| 103 | 103, 11, 79, 103, 307 |
| 1, 11, 79, 1, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 103 x 1 x 11 x 79 x 1 x 307 = 1538804344
Therefore, the lowest common multiple of 206,616,553,824,614 is 1538804344.
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.
206 x 616 x 553 x 824 x 614 = 35503293824768
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.
206 : 1, 2, 103, 206
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
553 : 1, 7, 79, 553
824 : 1, 2, 4, 8, 103, 206, 412, 824
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,616,553,824,614, is 1.
Now, the common factors can be found like this.
206:2x 103
616:2x 2x 2x 7x 11
553:7x 79
824:2x 2x 2x 103
614:2x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 7x 103 = 23072
Therefore, the value for common factors is 23072.
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 = 35503293824768/(1x23072)
LCM = 35503293824768/23072
LCM = 1538804344
Thus, we can understand that the LCM of 206,616,553,824,614 is 1538804344.
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FAQs on LCM of 206, 616, 553, 824, 614
1. What is the LCM of 206, 616, 553, 824, 614?
Answer: LCM of 206, 616, 553, 824, 614 is 1538804344.
2. How to calculate the LCM of 206, 616, 553, 824, 614?
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 206, 616, 553, 824, 614.
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}.