LCM of 694, 880, 390, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 880, 390, 144 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 694, 880, 390, 144. So, keep reading to learn more.
Given numbers are 694,880,390,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,880,390,144 is 35727120.
Find LCM of 694,880,390,144 with Prime Factorization
| 2 | 694, 880, 390, 144 |
| 2 | 347, 440, 195, 72 |
| 2 | 347, 220, 195, 36 |
| 2 | 347, 110, 195, 18 |
| 3 | 347, 55, 195, 9 |
| 5 | 347, 55, 65, 3 |
| 347, 11, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 347 x 11 x 13 x 3 = 35727120
Therefore, the lowest common multiple of 694,880,390,144 is 35727120.
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.
694 x 880 x 390 x 144 = 34298035200
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.
694 : 1, 2, 347, 694
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,880,390,144, is 2.
Now, the common factors can be found like this.
694:2x 347
880:2x 2x 2x 2x 5x 11
390:2x 3x 5x 13
144:2x 2x 2x 2x 3x 3
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 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 34298035200/(2x480)
LCM = 34298035200/960
LCM = 35727120
Thus, we can understand that the LCM of 694,880,390,144 is 35727120.
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FAQs on LCM of 694, 880, 390, 144
1. What is the LCM of 694, 880, 390, 144?
Answer: LCM of 694, 880, 390, 144 is 35727120.
2. How to calculate the LCM of 694, 880, 390, 144?
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 694, 880, 390, 144.
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}.