LCM of 758, 806, 930, 520, 563
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 806, 930, 520, 563 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 758, 806, 930, 520, 563. So, keep reading to learn more.
Given numbers are 758,806,930,520,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,806,930,520,563 is 10318911720.
Find LCM of 758,806,930,520,563 with Prime Factorization
| 2 | 758, 806, 930, 520, 563 |
| 5 | 379, 403, 465, 260, 563 |
| 13 | 379, 403, 93, 52, 563 |
| 31 | 379, 31, 93, 4, 563 |
| 379, 1, 3, 4, 563 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 31 x 379 x 1 x 3 x 4 x 563 = 10318911720
Therefore, the lowest common multiple of 758,806,930,520,563 is 10318911720.
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.
758 x 806 x 930 x 520 x 563 = 166340856926400
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.
758 : 1, 2, 379, 758
806 : 1, 2, 13, 26, 31, 62, 403, 806
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,806,930,520,563, is 1.
Now, the common factors can be found like this.
758:2x 379
806:2x 13x 31
930:2x 3x 5x 31
520:2x 2x 2x 5x 13
563:563
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 13x 31 = 16120
Therefore, the value for common factors is 16120.
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 = 166340856926400/(1x16120)
LCM = 166340856926400/16120
LCM = 10318911720
Thus, we can understand that the LCM of 758,806,930,520,563 is 10318911720.
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FAQs on LCM of 758, 806, 930, 520, 563
1. What is the LCM of 758, 806, 930, 520, 563?
Answer: LCM of 758, 806, 930, 520, 563 is 10318911720.
2. How to calculate the LCM of 758, 806, 930, 520, 563?
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 758, 806, 930, 520, 563.
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}.