LCM of 693, 408, 170, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 408, 170, 880 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 693, 408, 170, 880. So, keep reading to learn more.
Given numbers are 693,408,170,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,408,170,880 is 942480.
Find LCM of 693,408,170,880 with Prime Factorization
| 2 | 693, 408, 170, 880 |
| 2 | 693, 204, 85, 440 |
| 2 | 693, 102, 85, 220 |
| 3 | 693, 51, 85, 110 |
| 5 | 231, 17, 85, 110 |
| 11 | 231, 17, 17, 22 |
| 17 | 21, 17, 17, 2 |
| 21, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 17 x 21 x 1 x 1 x 2 = 942480
Therefore, the lowest common multiple of 693,408,170,880 is 942480.
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.
693 x 408 x 170 x 880 = 42298502400
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
170 : 1, 2, 5, 10, 17, 34, 85, 170
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,408,170,880, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
408:2x 2x 2x 3x 17
170:2x 5x 17
880:2x 2x 2x 2x 5x 11
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 5x 11x 17 = 44880
Therefore, the value for common factors is 44880.
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 = 42298502400/(1x44880)
LCM = 42298502400/44880
LCM = 942480
Thus, we can understand that the LCM of 693,408,170,880 is 942480.
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FAQs on LCM of 693, 408, 170, 880
1. What is the LCM of 693, 408, 170, 880?
Answer: LCM of 693, 408, 170, 880 is 942480.
2. How to calculate the LCM of 693, 408, 170, 880?
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 693, 408, 170, 880.
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}.