LCM of 684, 466, 296, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 466, 296, 540 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 684, 466, 296, 540. So, keep reading to learn more.
Given numbers are 684,466,296,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,466,296,540 is 176902920.
Find LCM of 684,466,296,540 with Prime Factorization
| 2 | 684, 466, 296, 540 |
| 2 | 342, 233, 148, 270 |
| 3 | 171, 233, 74, 135 |
| 3 | 57, 233, 74, 45 |
| 19, 233, 74, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 233 x 74 x 15 = 176902920
Therefore, the lowest common multiple of 684,466,296,540 is 176902920.
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.
684 x 466 x 296 x 540 = 50948040960
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
466 : 1, 2, 233, 466
296 : 1, 2, 4, 8, 37, 74, 148, 296
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,466,296,540, is 2.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
466:2x 233
296:2x 2x 2x 37
540:2x 2x 3x 3x 3x 5
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 3 = 144
Therefore, the value for common factors is 144.
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 = 50948040960/(2x144)
LCM = 50948040960/288
LCM = 176902920
Thus, we can understand that the LCM of 684,466,296,540 is 176902920.
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FAQs on LCM of 684, 466, 296, 540
1. What is the LCM of 684, 466, 296, 540?
Answer: LCM of 684, 466, 296, 540 is 176902920.
2. How to calculate the LCM of 684, 466, 296, 540?
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 684, 466, 296, 540.
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}.