LCM of 409, 341, 856, 527, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 341, 856, 527, 685 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 409, 341, 856, 527, 685. So, keep reading to learn more.
Given numbers are 409,341,856,527,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,341,856,527,685 is 1390243728280.
Find LCM of 409,341,856,527,685 with Prime Factorization
| 31 | 409, 341, 856, 527, 685 |
| 409, 11, 856, 17, 685 |
Multiply the prime numbers at the bottom and the left side.
31 x 409 x 11 x 856 x 17 x 685 = 1390243728280
Therefore, the lowest common multiple of 409,341,856,527,685 is 1390243728280.
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.
409 x 341 x 856 x 527 x 685 = 43097555576680
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.
409 : 1, 409
341 : 1, 11, 31, 341
856 : 1, 2, 4, 8, 107, 214, 428, 856
527 : 1, 17, 31, 527
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,341,856,527,685, is 1.
Now, the common factors can be found like this.
409:409
341:11x 31
856:2x 2x 2x 107
527:17x 31
685:5x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31 = 31
Therefore, the value for common factors is 31.
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 = 43097555576680/(1x31)
LCM = 43097555576680/31
LCM = 1390243728280
Thus, we can understand that the LCM of 409,341,856,527,685 is 1390243728280.
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FAQs on LCM of 409, 341, 856, 527, 685
1. What is the LCM of 409, 341, 856, 527, 685?
Answer: LCM of 409, 341, 856, 527, 685 is 1390243728280.
2. How to calculate the LCM of 409, 341, 856, 527, 685?
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 409, 341, 856, 527, 685.
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}.