LCM of 690, 339, 108, 856, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 339, 108, 856, 578 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 690, 339, 108, 856, 578. So, keep reading to learn more.
Given numbers are 690,339,108,856,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,339,108,856,578 is 86798387160.
Find LCM of 690,339,108,856,578 with Prime Factorization
| 2 | 690, 339, 108, 856, 578 |
| 2 | 345, 339, 54, 428, 289 |
| 3 | 345, 339, 27, 214, 289 |
| 115, 113, 9, 214, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 115 x 113 x 9 x 214 x 289 = 86798387160
Therefore, the lowest common multiple of 690,339,108,856,578 is 86798387160.
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.
690 x 339 x 108 x 856 x 578 = 12498967751040
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
339 : 1, 3, 113, 339
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
856 : 1, 2, 4, 8, 107, 214, 428, 856
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,339,108,856,578, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
339:3x 113
108:2x 2x 3x 3x 3
856:2x 2x 2x 107
578:2x 17x 17
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 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 12498967751040/(1x144)
LCM = 12498967751040/144
LCM = 86798387160
Thus, we can understand that the LCM of 690,339,108,856,578 is 86798387160.
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FAQs on LCM of 690, 339, 108, 856, 578
1. What is the LCM of 690, 339, 108, 856, 578?
Answer: LCM of 690, 339, 108, 856, 578 is 86798387160.
2. How to calculate the LCM of 690, 339, 108, 856, 578?
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 690, 339, 108, 856, 578.
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}.