LCM of 620, 742, 583, 517, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 742, 583, 517, 799 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 620, 742, 583, 517, 799. So, keep reading to learn more.
Given numbers are 620,742,583,517,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,742,583,517,799 is 2021645780.
Find LCM of 620,742,583,517,799 with Prime Factorization
| 2 | 620, 742, 583, 517, 799 |
| 11 | 310, 371, 583, 517, 799 |
| 47 | 310, 371, 53, 47, 799 |
| 53 | 310, 371, 53, 1, 17 |
| 310, 7, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 47 x 53 x 310 x 7 x 1 x 1 x 17 = 2021645780
Therefore, the lowest common multiple of 620,742,583,517,799 is 2021645780.
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.
620 x 742 x 583 x 517 x 799 = 110790232035560
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
742 : 1, 2, 7, 14, 53, 106, 371, 742
583 : 1, 11, 53, 583
517 : 1, 11, 47, 517
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,742,583,517,799, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
742:2x 7x 53
583:11x 53
517:11x 47
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 47x 53 = 54802
Therefore, the value for common factors is 54802.
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 = 110790232035560/(1x54802)
LCM = 110790232035560/54802
LCM = 2021645780
Thus, we can understand that the LCM of 620,742,583,517,799 is 2021645780.
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FAQs on LCM of 620, 742, 583, 517, 799
1. What is the LCM of 620, 742, 583, 517, 799?
Answer: LCM of 620, 742, 583, 517, 799 is 2021645780.
2. How to calculate the LCM of 620, 742, 583, 517, 799?
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 620, 742, 583, 517, 799.
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}.