LCM of 468, 260, 290, 340, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 260, 290, 340, 696 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 468, 260, 290, 340, 696. So, keep reading to learn more.
Given numbers are 468,260,290,340,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,260,290,340,696 is 2307240.
Find LCM of 468,260,290,340,696 with Prime Factorization
| 2 | 468, 260, 290, 340, 696 |
| 2 | 234, 130, 145, 170, 348 |
| 3 | 117, 65, 145, 85, 174 |
| 5 | 39, 65, 145, 85, 58 |
| 13 | 39, 13, 29, 17, 58 |
| 29 | 3, 1, 29, 17, 58 |
| 3, 1, 1, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 29 x 3 x 1 x 1 x 17 x 2 = 2307240
Therefore, the lowest common multiple of 468,260,290,340,696 is 2307240.
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.
468 x 260 x 290 x 340 x 696 = 8350363008000
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
290 : 1, 2, 5, 10, 29, 58, 145, 290
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,260,290,340,696, is 2.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
260:2x 2x 5x 13
290:2x 5x 29
340:2x 2x 5x 17
696:2x 2x 2x 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 2x 2x 2x 2x 2x 3x 5x 5x 13x 29 = 1809600
Therefore, the value for common factors is 1809600.
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 = 8350363008000/(2x1809600)
LCM = 8350363008000/3619200
LCM = 2307240
Thus, we can understand that the LCM of 468,260,290,340,696 is 2307240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 468, 260, 290, 340, 696
1. What is the LCM of 468, 260, 290, 340, 696?
Answer: LCM of 468, 260, 290, 340, 696 is 2307240.
2. How to calculate the LCM of 468, 260, 290, 340, 696?
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 468, 260, 290, 340, 696.
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}.