LCM of 411, 928, 690, 276, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 411, 928, 690, 276, 339 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 411, 928, 690, 276, 339. So, keep reading to learn more.
Given numbers are 411,928,690,276,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,928,690,276,339 is 4956396960.
Find LCM of 411,928,690,276,339 with Prime Factorization
| 2 | 411, 928, 690, 276, 339 |
| 2 | 411, 464, 345, 138, 339 |
| 3 | 411, 232, 345, 69, 339 |
| 23 | 137, 232, 115, 23, 113 |
| 137, 232, 5, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 137 x 232 x 5 x 1 x 113 = 4956396960
Therefore, the lowest common multiple of 411,928,690,276,339 is 4956396960.
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.
411 x 928 x 690 x 276 x 339 = 24623380097280
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.
411 : 1, 3, 137, 411
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,928,690,276,339, is 1.
Now, the common factors can be found like this.
411:3x 137
928:2x 2x 2x 2x 2x 29
690:2x 3x 5x 23
276:2x 2x 3x 23
339:3x 113
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 3x 23 = 4968
Therefore, the value for common factors is 4968.
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 = 24623380097280/(1x4968)
LCM = 24623380097280/4968
LCM = 4956396960
Thus, we can understand that the LCM of 411,928,690,276,339 is 4956396960.
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FAQs on LCM of 411, 928, 690, 276, 339
1. What is the LCM of 411, 928, 690, 276, 339?
Answer: LCM of 411, 928, 690, 276, 339 is 4956396960.
2. How to calculate the LCM of 411, 928, 690, 276, 339?
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 411, 928, 690, 276, 339.
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}.