LCM of 696, 689, 822, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 689, 822, 360 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 696, 689, 822, 360. So, keep reading to learn more.
Given numbers are 696,689,822,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,689,822,360 is 985462920.
Find LCM of 696,689,822,360 with Prime Factorization
| 2 | 696, 689, 822, 360 |
| 2 | 348, 689, 411, 180 |
| 2 | 174, 689, 411, 90 |
| 3 | 87, 689, 411, 45 |
| 29, 689, 137, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 689 x 137 x 15 = 985462920
Therefore, the lowest common multiple of 696,689,822,360 is 985462920.
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.
696 x 689 x 822 x 360 = 141906660480
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
689 : 1, 13, 53, 689
822 : 1, 2, 3, 6, 137, 274, 411, 822
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,689,822,360, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
689:13x 53
822:2x 3x 137
360:2x 2x 2x 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 = 141906660480/(1x144)
LCM = 141906660480/144
LCM = 985462920
Thus, we can understand that the LCM of 696,689,822,360 is 985462920.
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FAQs on LCM of 696, 689, 822, 360
1. What is the LCM of 696, 689, 822, 360?
Answer: LCM of 696, 689, 822, 360 is 985462920.
2. How to calculate the LCM of 696, 689, 822, 360?
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 696, 689, 822, 360.
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}.