LCM of 586, 552, 672, 638, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 552, 672, 638, 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 586, 552, 672, 638, 910. So, keep reading to learn more.
Given numbers are 586,552,672,638,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,552,672,638,910 is 93900686880.
Find LCM of 586,552,672,638,910 with Prime Factorization
| 2 | 586, 552, 672, 638, 910 |
| 2 | 293, 276, 336, 319, 455 |
| 2 | 293, 138, 168, 319, 455 |
| 3 | 293, 69, 84, 319, 455 |
| 7 | 293, 23, 28, 319, 455 |
| 293, 23, 4, 319, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 293 x 23 x 4 x 319 x 65 = 93900686880
Therefore, the lowest common multiple of 586,552,672,638,910 is 93900686880.
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.
586 x 552 x 672 x 638 x 910 = 126202523166720
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.
586 : 1, 2, 293, 586
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
638 : 1, 2, 11, 22, 29, 58, 319, 638
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,552,672,638,910, is 2.
Now, the common factors can be found like this.
586:2x 293
552:2x 2x 2x 3x 23
672:2x 2x 2x 2x 2x 3x 7
638:2x 11x 29
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 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 126202523166720/(2x672)
LCM = 126202523166720/1344
LCM = 93900686880
Thus, we can understand that the LCM of 586,552,672,638,910 is 93900686880.
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FAQs on LCM of 586, 552, 672, 638, 910
1. What is the LCM of 586, 552, 672, 638, 910?
Answer: LCM of 586, 552, 672, 638, 910 is 93900686880.
2. How to calculate the LCM of 586, 552, 672, 638, 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 586, 552, 672, 638, 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}.