LCM of 639, 783, 605, 715, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 783, 605, 715, 497 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 639, 783, 605, 715, 497. So, keep reading to learn more.
Given numbers are 639,783,605,715,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,783,605,715,497 is 3060672615.
Find LCM of 639,783,605,715,497 with Prime Factorization
| 3 | 639, 783, 605, 715, 497 |
| 3 | 213, 261, 605, 715, 497 |
| 5 | 71, 87, 605, 715, 497 |
| 11 | 71, 87, 121, 143, 497 |
| 71 | 71, 87, 11, 13, 497 |
| 1, 87, 11, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 11 x 71 x 1 x 87 x 11 x 13 x 7 = 3060672615
Therefore, the lowest common multiple of 639,783,605,715,497 is 3060672615.
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.
639 x 783 x 605 x 715 x 497 = 107567339054175
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.
639 : 1, 3, 9, 71, 213, 639
783 : 1, 3, 9, 27, 29, 87, 261, 783
605 : 1, 5, 11, 55, 121, 605
715 : 1, 5, 11, 13, 55, 65, 143, 715
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,783,605,715,497, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
783:3x 3x 3x 29
605:5x 11x 11
715:5x 11x 13
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11x 71 = 35145
Therefore, the value for common factors is 35145.
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 = 107567339054175/(1x35145)
LCM = 107567339054175/35145
LCM = 3060672615
Thus, we can understand that the LCM of 639,783,605,715,497 is 3060672615.
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FAQs on LCM of 639, 783, 605, 715, 497
1. What is the LCM of 639, 783, 605, 715, 497?
Answer: LCM of 639, 783, 605, 715, 497 is 3060672615.
2. How to calculate the LCM of 639, 783, 605, 715, 497?
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 639, 783, 605, 715, 497.
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}.