LCM of 714, 677, 720, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 677, 720, 768 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 714, 677, 720, 768. So, keep reading to learn more.
Given numbers are 714,677,720,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,677,720,768 is 928085760.
Find LCM of 714,677,720,768 with Prime Factorization
| 2 | 714, 677, 720, 768 |
| 2 | 357, 677, 360, 384 |
| 2 | 357, 677, 180, 192 |
| 2 | 357, 677, 90, 96 |
| 3 | 357, 677, 45, 48 |
| 119, 677, 15, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 119 x 677 x 15 x 16 = 928085760
Therefore, the lowest common multiple of 714,677,720,768 is 928085760.
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.
714 x 677 x 720 x 768 = 267288698880
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
677 : 1, 677
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
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,677,720,768, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
677:677
720:2x 2x 2x 2x 3x 3x 5
768:2x 2x 2x 2x 2x 2x 2x 2x 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 3 = 288
Therefore, the value for common factors is 288.
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 = 267288698880/(1x288)
LCM = 267288698880/288
LCM = 928085760
Thus, we can understand that the LCM of 714,677,720,768 is 928085760.
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FAQs on LCM of 714, 677, 720, 768
1. What is the LCM of 714, 677, 720, 768?
Answer: LCM of 714, 677, 720, 768 is 928085760.
2. How to calculate the LCM of 714, 677, 720, 768?
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 714, 677, 720, 768.
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}.