LCM of 418, 517, 817, 709, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 517, 817, 709, 140 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 418, 517, 817, 709, 140. So, keep reading to learn more.
Given numbers are 418,517,817,709,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,517,817,709,140 is 41926332140.
Find LCM of 418,517,817,709,140 with Prime Factorization
| 2 | 418, 517, 817, 709, 140 |
| 11 | 209, 517, 817, 709, 70 |
| 19 | 19, 47, 817, 709, 70 |
| 1, 47, 43, 709, 70 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 1 x 47 x 43 x 709 x 70 = 41926332140
Therefore, the lowest common multiple of 418,517,817,709,140 is 41926332140.
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.
418 x 517 x 817 x 709 x 140 = 17525206834520
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
517 : 1, 11, 47, 517
817 : 1, 19, 43, 817
709 : 1, 709
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,517,817,709,140, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
517:11x 47
817:19x 43
709:709
140:2x 2x 5x 7
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 19 = 418
Therefore, the value for common factors is 418.
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 = 17525206834520/(1x418)
LCM = 17525206834520/418
LCM = 41926332140
Thus, we can understand that the LCM of 418,517,817,709,140 is 41926332140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 517, 817, 709, 140
1. What is the LCM of 418, 517, 817, 709, 140?
Answer: LCM of 418, 517, 817, 709, 140 is 41926332140.
2. How to calculate the LCM of 418, 517, 817, 709, 140?
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 418, 517, 817, 709, 140.
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}.