LCM of 772, 928, 596, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 928, 596, 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 772, 928, 596, 880. So, keep reading to learn more.
Given numbers are 772,928,596,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,928,596,880 is 1467757280.
Find LCM of 772,928,596,880 with Prime Factorization
| 2 | 772, 928, 596, 880 |
| 2 | 386, 464, 298, 440 |
| 2 | 193, 232, 149, 220 |
| 2 | 193, 116, 149, 110 |
| 193, 58, 149, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 193 x 58 x 149 x 55 = 1467757280
Therefore, the lowest common multiple of 772,928,596,880 is 1467757280.
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.
772 x 928 x 596 x 880 = 375745863680
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.
772 : 1, 2, 4, 193, 386, 772
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
596 : 1, 2, 4, 149, 298, 596
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,928,596,880, is 4.
Now, the common factors can be found like this.
772:2x 2x 193
928:2x 2x 2x 2x 2x 29
596:2x 2x 149
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 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 375745863680/(4x64)
LCM = 375745863680/256
LCM = 1467757280
Thus, we can understand that the LCM of 772,928,596,880 is 1467757280.
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FAQs on LCM of 772, 928, 596, 880
1. What is the LCM of 772, 928, 596, 880?
Answer: LCM of 772, 928, 596, 880 is 1467757280.
2. How to calculate the LCM of 772, 928, 596, 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 772, 928, 596, 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}.