LCM of 689, 213, 884, 522, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 213, 884, 522, 786 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 689, 213, 884, 522, 786. So, keep reading to learn more.
Given numbers are 689,213,884,522,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,213,884,522,786 is 113736087972.
Find LCM of 689,213,884,522,786 with Prime Factorization
| 2 | 689, 213, 884, 522, 786 |
| 3 | 689, 213, 442, 261, 393 |
| 13 | 689, 71, 442, 87, 131 |
| 53, 71, 34, 87, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 53 x 71 x 34 x 87 x 131 = 113736087972
Therefore, the lowest common multiple of 689,213,884,522,786 is 113736087972.
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.
689 x 213 x 884 x 522 x 786 = 53228489170896
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.
689 : 1, 13, 53, 689
213 : 1, 3, 71, 213
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,213,884,522,786, is 1.
Now, the common factors can be found like this.
689:13x 53
213:3x 71
884:2x 2x 13x 17
522:2x 3x 3x 29
786:2x 3x 131
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 53228489170896/(1x468)
LCM = 53228489170896/468
LCM = 113736087972
Thus, we can understand that the LCM of 689,213,884,522,786 is 113736087972.
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FAQs on LCM of 689, 213, 884, 522, 786
1. What is the LCM of 689, 213, 884, 522, 786?
Answer: LCM of 689, 213, 884, 522, 786 is 113736087972.
2. How to calculate the LCM of 689, 213, 884, 522, 786?
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 689, 213, 884, 522, 786.
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}.