LCM of 772, 896, 902, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 896, 902, 392 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, 896, 902, 392. So, keep reading to learn more.
Given numbers are 772,896,902,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,896,902,392 is 545933696.
Find LCM of 772,896,902,392 with Prime Factorization
| 2 | 772, 896, 902, 392 |
| 2 | 386, 448, 451, 196 |
| 2 | 193, 224, 451, 98 |
| 7 | 193, 112, 451, 49 |
| 193, 16, 451, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 193 x 16 x 451 x 7 = 545933696
Therefore, the lowest common multiple of 772,896,902,392 is 545933696.
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 896 x 902 x 392 = 244578295808
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
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
902 : 1, 2, 11, 22, 41, 82, 451, 902
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,896,902,392, is 2.
Now, the common factors can be found like this.
772:2x 2x 193
896:2x 2x 2x 2x 2x 2x 2x 7
902:2x 11x 41
392:2x 2x 2x 7x 7
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 7 = 224
Therefore, the value for common factors is 224.
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 = 244578295808/(2x224)
LCM = 244578295808/448
LCM = 545933696
Thus, we can understand that the LCM of 772,896,902,392 is 545933696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 772, 896, 902, 392
1. What is the LCM of 772, 896, 902, 392?
Answer: LCM of 772, 896, 902, 392 is 545933696.
2. How to calculate the LCM of 772, 896, 902, 392?
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, 896, 902, 392.
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}.