LCM of 343, 846, 510, 377, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 846, 510, 377, 261 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, 846, 510, 377, 261. So, keep reading to learn more.
Given numbers are 343,846,510,377,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,846,510,377,261 is 9298754010.
Find LCM of 343,846,510,377,261 with Prime Factorization
| 2 | 343, 846, 510, 377, 261 |
| 3 | 343, 423, 255, 377, 261 |
| 3 | 343, 141, 85, 377, 87 |
| 29 | 343, 47, 85, 377, 29 |
| 343, 47, 85, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 343 x 47 x 85 x 13 x 1 = 9298754010
Therefore, the lowest common multiple of 343,846,510,377,261 is 9298754010.
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 846 x 510 x 377 x 261 = 14561848779660
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
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
377 : 1, 13, 29, 377
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,846,510,377,261, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
846:2x 3x 3x 47
510:2x 3x 5x 17
377:13x 29
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 29 = 1566
Therefore, the value for common factors is 1566.
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 = 14561848779660/(1x1566)
LCM = 14561848779660/1566
LCM = 9298754010
Thus, we can understand that the LCM of 343,846,510,377,261 is 9298754010.
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FAQs on LCM of 343, 846, 510, 377, 261
1. What is the LCM of 343, 846, 510, 377, 261?
Answer: LCM of 343, 846, 510, 377, 261 is 9298754010.
2. How to calculate the LCM of 343, 846, 510, 377, 261?
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, 846, 510, 377, 261.
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}.