LCM of 518, 407, 838, 711, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 407, 838, 711, 360 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 518, 407, 838, 711, 360. So, keep reading to learn more.
Given numbers are 518,407,838,711,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,407,838,711,360 is 33949709640.
Find LCM of 518,407,838,711,360 with Prime Factorization
| 2 | 518, 407, 838, 711, 360 |
| 3 | 259, 407, 419, 711, 180 |
| 3 | 259, 407, 419, 237, 60 |
| 37 | 259, 407, 419, 79, 20 |
| 7, 11, 419, 79, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 37 x 7 x 11 x 419 x 79 x 20 = 33949709640
Therefore, the lowest common multiple of 518,407,838,711,360 is 33949709640.
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.
518 x 407 x 838 x 711 x 360 = 45221013240480
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
407 : 1, 11, 37, 407
838 : 1, 2, 419, 838
711 : 1, 3, 9, 79, 237, 711
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,407,838,711,360, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
407:11x 37
838:2x 419
711:3x 3x 79
360:2x 2x 2x 3x 3x 5
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 3x 3x 37 = 1332
Therefore, the value for common factors is 1332.
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 = 45221013240480/(1x1332)
LCM = 45221013240480/1332
LCM = 33949709640
Thus, we can understand that the LCM of 518,407,838,711,360 is 33949709640.
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FAQs on LCM of 518, 407, 838, 711, 360
1. What is the LCM of 518, 407, 838, 711, 360?
Answer: LCM of 518, 407, 838, 711, 360 is 33949709640.
2. How to calculate the LCM of 518, 407, 838, 711, 360?
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 518, 407, 838, 711, 360.
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}.