LCM of 526, 216, 696, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 216, 696, 680 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 526, 216, 696, 680. So, keep reading to learn more.
Given numbers are 526,216,696,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,216,696,680 is 140031720.
Find LCM of 526,216,696,680 with Prime Factorization
| 2 | 526, 216, 696, 680 |
| 2 | 263, 108, 348, 340 |
| 2 | 263, 54, 174, 170 |
| 3 | 263, 27, 87, 85 |
| 263, 9, 29, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 263 x 9 x 29 x 85 = 140031720
Therefore, the lowest common multiple of 526,216,696,680 is 140031720.
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.
526 x 216 x 696 x 680 = 53772180480
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.
526 : 1, 2, 263, 526
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,216,696,680, is 2.
Now, the common factors can be found like this.
526:2x 263
216:2x 2x 2x 3x 3x 3
696:2x 2x 2x 3x 29
680:2x 2x 2x 5x 17
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 3 = 192
Therefore, the value for common factors is 192.
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 = 53772180480/(2x192)
LCM = 53772180480/384
LCM = 140031720
Thus, we can understand that the LCM of 526,216,696,680 is 140031720.
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FAQs on LCM of 526, 216, 696, 680
1. What is the LCM of 526, 216, 696, 680?
Answer: LCM of 526, 216, 696, 680 is 140031720.
2. How to calculate the LCM of 526, 216, 696, 680?
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 526, 216, 696, 680.
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}.