LCM of 616, 944, 517, 517, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 944, 517, 517, 200 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 616, 944, 517, 517, 200. So, keep reading to learn more.
Given numbers are 616,944,517,517,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,944,517,517,200 is 85408400.
Find LCM of 616,944,517,517,200 with Prime Factorization
| 2 | 616, 944, 517, 517, 200 |
| 2 | 308, 472, 517, 517, 100 |
| 2 | 154, 236, 517, 517, 50 |
| 11 | 77, 118, 517, 517, 25 |
| 47 | 7, 118, 47, 47, 25 |
| 7, 118, 1, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 47 x 7 x 118 x 1 x 1 x 25 = 85408400
Therefore, the lowest common multiple of 616,944,517,517,200 is 85408400.
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.
616 x 944 x 517 x 517 x 200 = 31085924531200
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
517 : 1, 11, 47, 517
517 : 1, 11, 47, 517
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,944,517,517,200, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
944:2x 2x 2x 2x 59
517:11x 47
517:11x 47
200:2x 2x 2x 5x 5
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 2x 11x 11x 47 = 363968
Therefore, the value for common factors is 363968.
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 = 31085924531200/(1x363968)
LCM = 31085924531200/363968
LCM = 85408400
Thus, we can understand that the LCM of 616,944,517,517,200 is 85408400.
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FAQs on LCM of 616, 944, 517, 517, 200
1. What is the LCM of 616, 944, 517, 517, 200?
Answer: LCM of 616, 944, 517, 517, 200 is 85408400.
2. How to calculate the LCM of 616, 944, 517, 517, 200?
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 616, 944, 517, 517, 200.
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}.