LCM of 206, 616, 748, 678, 557
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 206, 616, 748, 678, 557 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, 748, 678, 557. So, keep reading to learn more.
Given numbers are 206,616,748,678,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,616,748,678,557 is 203667508968.
Find LCM of 206,616,748,678,557 with Prime Factorization
| 2 | 206, 616, 748, 678, 557 |
| 2 | 103, 308, 374, 339, 557 |
| 11 | 103, 154, 187, 339, 557 |
| 103, 14, 17, 339, 557 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 103 x 14 x 17 x 339 x 557 = 203667508968
Therefore, the lowest common multiple of 206,616,748,678,557 is 203667508968.
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 748 x 678 x 557 = 35845481578368
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
678 : 1, 2, 3, 6, 113, 226, 339, 678
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,616,748,678,557, is 1.
Now, the common factors can be found like this.
206:2x 103
616:2x 2x 2x 7x 11
748:2x 2x 11x 17
678:2x 3x 113
557:557
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 11 = 176
Therefore, the value for common factors is 176.
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 = 35845481578368/(1x176)
LCM = 35845481578368/176
LCM = 203667508968
Thus, we can understand that the LCM of 206,616,748,678,557 is 203667508968.
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FAQs on LCM of 206, 616, 748, 678, 557
1. What is the LCM of 206, 616, 748, 678, 557?
Answer: LCM of 206, 616, 748, 678, 557 is 203667508968.
2. How to calculate the LCM of 206, 616, 748, 678, 557?
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, 748, 678, 557.
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}.