LCM of 617, 200, 364, 927, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 617, 200, 364, 927, 910 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 617, 200, 364, 927, 910. So, keep reading to learn more.
Given numbers are 617,200,364,927,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 617,200,364,927,910 is 10409653800.
Find LCM of 617,200,364,927,910 with Prime Factorization
| 2 | 617, 200, 364, 927, 910 |
| 2 | 617, 100, 182, 927, 455 |
| 5 | 617, 50, 91, 927, 455 |
| 7 | 617, 10, 91, 927, 91 |
| 13 | 617, 10, 13, 927, 13 |
| 617, 10, 1, 927, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 617 x 10 x 1 x 927 x 1 = 10409653800
Therefore, the lowest common multiple of 617,200,364,927,910 is 10409653800.
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.
617 x 200 x 364 x 927 x 910 = 37891139832000
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.
617 : 1, 617
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
927 : 1, 3, 9, 103, 309, 927
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,200,364,927,910, is 1.
Now, the common factors can be found like this.
617:617
200:2x 2x 2x 5x 5
364:2x 2x 7x 13
927:3x 3x 103
910:2x 5x 7x 13
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 5x 7x 13 = 3640
Therefore, the value for common factors is 3640.
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 = 37891139832000/(1x3640)
LCM = 37891139832000/3640
LCM = 10409653800
Thus, we can understand that the LCM of 617,200,364,927,910 is 10409653800.
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FAQs on LCM of 617, 200, 364, 927, 910
1. What is the LCM of 617, 200, 364, 927, 910?
Answer: LCM of 617, 200, 364, 927, 910 is 10409653800.
2. How to calculate the LCM of 617, 200, 364, 927, 910?
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 617, 200, 364, 927, 910.
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}.