LCM of 689, 936, 414, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 936, 414, 920 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, 936, 414, 920. So, keep reading to learn more.
Given numbers are 689,936,414,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,936,414,920 is 5704920.
Find LCM of 689,936,414,920 with Prime Factorization
| 2 | 689, 936, 414, 920 |
| 2 | 689, 468, 207, 460 |
| 2 | 689, 234, 207, 230 |
| 3 | 689, 117, 207, 115 |
| 3 | 689, 39, 69, 115 |
| 13 | 689, 13, 23, 115 |
| 23 | 53, 1, 23, 115 |
| 53, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 23 x 53 x 1 x 1 x 5 = 5704920
Therefore, the lowest common multiple of 689,936,414,920 is 5704920.
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 936 x 414 x 920 = 245631035520
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
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,936,414,920, is 1.
Now, the common factors can be found like this.
689:13x 53
936:2x 2x 2x 3x 3x 13
414:2x 3x 3x 23
920:2x 2x 2x 5x 23
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 3x 13x 23 = 43056
Therefore, the value for common factors is 43056.
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 = 245631035520/(1x43056)
LCM = 245631035520/43056
LCM = 5704920
Thus, we can understand that the LCM of 689,936,414,920 is 5704920.
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FAQs on LCM of 689, 936, 414, 920
1. What is the LCM of 689, 936, 414, 920?
Answer: LCM of 689, 936, 414, 920 is 5704920.
2. How to calculate the LCM of 689, 936, 414, 920?
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, 936, 414, 920.
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}.