LCM of 720, 689, 774, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 689, 774, 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 720, 689, 774, 144. So, keep reading to learn more.
Given numbers are 720,689,774,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,689,774,144 is 21331440.
Find LCM of 720,689,774,144 with Prime Factorization
| 2 | 720, 689, 774, 144 |
| 2 | 360, 689, 387, 72 |
| 2 | 180, 689, 387, 36 |
| 2 | 90, 689, 387, 18 |
| 3 | 45, 689, 387, 9 |
| 3 | 15, 689, 129, 3 |
| 5, 689, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 689 x 43 x 1 = 21331440
Therefore, the lowest common multiple of 720,689,774,144 is 21331440.
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.
720 x 689 x 774 x 144 = 55291092480
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
689 : 1, 13, 53, 689
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,689,774,144, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
689:13x 53
774:2x 3x 3x 43
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 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 55291092480/(1x2592)
LCM = 55291092480/2592
LCM = 21331440
Thus, we can understand that the LCM of 720,689,774,144 is 21331440.
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FAQs on LCM of 720, 689, 774, 144
1. What is the LCM of 720, 689, 774, 144?
Answer: LCM of 720, 689, 774, 144 is 21331440.
2. How to calculate the LCM of 720, 689, 774, 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 720, 689, 774, 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}.