LCM of 343, 366, 102, 260, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 366, 102, 260, 714 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 343, 366, 102, 260, 714. So, keep reading to learn more.
Given numbers are 343,366,102,260,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,366,102,260,714 is 277438980.
Find LCM of 343,366,102,260,714 with Prime Factorization
| 2 | 343, 366, 102, 260, 714 |
| 3 | 343, 183, 51, 130, 357 |
| 7 | 343, 61, 17, 130, 119 |
| 17 | 49, 61, 17, 130, 17 |
| 49, 61, 1, 130, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 49 x 61 x 1 x 130 x 1 = 277438980
Therefore, the lowest common multiple of 343,366,102,260,714 is 277438980.
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.
343 x 366 x 102 x 260 x 714 = 2377097180640
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.
343 : 1, 7, 49, 343
366 : 1, 2, 3, 6, 61, 122, 183, 366
102 : 1, 2, 3, 6, 17, 34, 51, 102
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,366,102,260,714, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
366:2x 3x 61
102:2x 3x 17
260:2x 2x 5x 13
714:2x 3x 7x 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 3x 3x 7x 17 = 8568
Therefore, the value for common factors is 8568.
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 = 2377097180640/(1x8568)
LCM = 2377097180640/8568
LCM = 277438980
Thus, we can understand that the LCM of 343,366,102,260,714 is 277438980.
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FAQs on LCM of 343, 366, 102, 260, 714
1. What is the LCM of 343, 366, 102, 260, 714?
Answer: LCM of 343, 366, 102, 260, 714 is 277438980.
2. How to calculate the LCM of 343, 366, 102, 260, 714?
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 343, 366, 102, 260, 714.
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}.