LCM of 510, 556, 340, 686, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 556, 340, 686, 129 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 510, 556, 340, 686, 129. So, keep reading to learn more.
Given numbers are 510,556,340,686,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,556,340,686,129 is 2091113220.
Find LCM of 510,556,340,686,129 with Prime Factorization
| 2 | 510, 556, 340, 686, 129 |
| 2 | 255, 278, 170, 343, 129 |
| 3 | 255, 139, 85, 343, 129 |
| 5 | 85, 139, 85, 343, 43 |
| 17 | 17, 139, 17, 343, 43 |
| 1, 139, 1, 343, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 1 x 139 x 1 x 343 x 43 = 2091113220
Therefore, the lowest common multiple of 510,556,340,686,129 is 2091113220.
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.
510 x 556 x 340 x 686 x 129 = 8531741937600
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
556 : 1, 2, 4, 139, 278, 556
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
686 : 1, 2, 7, 14, 49, 98, 343, 686
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,556,340,686,129, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
556:2x 2x 139
340:2x 2x 5x 17
686:2x 7x 7x 7
129:3x 43
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 5x 17 = 4080
Therefore, the value for common factors is 4080.
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 = 8531741937600/(1x4080)
LCM = 8531741937600/4080
LCM = 2091113220
Thus, we can understand that the LCM of 510,556,340,686,129 is 2091113220.
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FAQs on LCM of 510, 556, 340, 686, 129
1. What is the LCM of 510, 556, 340, 686, 129?
Answer: LCM of 510, 556, 340, 686, 129 is 2091113220.
2. How to calculate the LCM of 510, 556, 340, 686, 129?
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 510, 556, 340, 686, 129.
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}.