LCM of 343, 260, 911, 133, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 260, 911, 133, 468 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, 260, 911, 133, 468. So, keep reading to learn more.
Given numbers are 343,260,911,133,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,260,911,133,468 is 13892549580.
Find LCM of 343,260,911,133,468 with Prime Factorization
| 2 | 343, 260, 911, 133, 468 |
| 2 | 343, 130, 911, 133, 234 |
| 7 | 343, 65, 911, 133, 117 |
| 13 | 49, 65, 911, 19, 117 |
| 49, 5, 911, 19, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 49 x 5 x 911 x 19 x 9 = 13892549580
Therefore, the lowest common multiple of 343,260,911,133,468 is 13892549580.
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 260 x 911 x 133 x 468 = 5056888047120
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
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
911 : 1, 911
133 : 1, 7, 19, 133
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,260,911,133,468, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
260:2x 2x 5x 13
911:911
133:7x 19
468:2x 2x 3x 3x 13
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 7x 13 = 364
Therefore, the value for common factors is 364.
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 = 5056888047120/(1x364)
LCM = 5056888047120/364
LCM = 13892549580
Thus, we can understand that the LCM of 343,260,911,133,468 is 13892549580.
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FAQs on LCM of 343, 260, 911, 133, 468
1. What is the LCM of 343, 260, 911, 133, 468?
Answer: LCM of 343, 260, 911, 133, 468 is 13892549580.
2. How to calculate the LCM of 343, 260, 911, 133, 468?
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, 260, 911, 133, 468.
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}.