LCM of 517, 605, 705, 721, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 605, 705, 721, 942 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 517, 605, 705, 721, 942. So, keep reading to learn more.
Given numbers are 517,605,705,721,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,605,705,721,942 is 19312540170.
Find LCM of 517,605,705,721,942 with Prime Factorization
| 3 | 517, 605, 705, 721, 942 |
| 5 | 517, 605, 235, 721, 314 |
| 11 | 517, 121, 47, 721, 314 |
| 47 | 47, 11, 47, 721, 314 |
| 1, 11, 1, 721, 314 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 47 x 1 x 11 x 1 x 721 x 314 = 19312540170
Therefore, the lowest common multiple of 517,605,705,721,942 is 19312540170.
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.
517 x 605 x 705 x 721 x 942 = 149768749018350
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.
517 : 1, 11, 47, 517
605 : 1, 5, 11, 55, 121, 605
705 : 1, 3, 5, 15, 47, 141, 235, 705
721 : 1, 7, 103, 721
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,605,705,721,942, is 1.
Now, the common factors can be found like this.
517:11x 47
605:5x 11x 11
705:3x 5x 47
721:7x 103
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11x 47 = 7755
Therefore, the value for common factors is 7755.
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 = 149768749018350/(1x7755)
LCM = 149768749018350/7755
LCM = 19312540170
Thus, we can understand that the LCM of 517,605,705,721,942 is 19312540170.
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FAQs on LCM of 517, 605, 705, 721, 942
1. What is the LCM of 517, 605, 705, 721, 942?
Answer: LCM of 517, 605, 705, 721, 942 is 19312540170.
2. How to calculate the LCM of 517, 605, 705, 721, 942?
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 517, 605, 705, 721, 942.
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}.