LCM of 771, 728, 735, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 728, 735, 896 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 771, 728, 735, 896. So, keep reading to learn more.
Given numbers are 771,728,735,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,728,735,896 is 314321280.
Find LCM of 771,728,735,896 with Prime Factorization
| 2 | 771, 728, 735, 896 |
| 2 | 771, 364, 735, 448 |
| 2 | 771, 182, 735, 224 |
| 3 | 771, 91, 735, 112 |
| 7 | 257, 91, 245, 112 |
| 257, 13, 35, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 257 x 13 x 35 x 16 = 314321280
Therefore, the lowest common multiple of 771,728,735,896 is 314321280.
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.
771 x 728 x 735 x 896 = 369641825280
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.
771 : 1, 3, 257, 771
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,728,735,896, is 1.
Now, the common factors can be found like this.
771:3x 257
728:2x 2x 2x 7x 13
735:3x 5x 7x 7
896:2x 2x 2x 2x 2x 2x 2x 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 3x 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 369641825280/(1x1176)
LCM = 369641825280/1176
LCM = 314321280
Thus, we can understand that the LCM of 771,728,735,896 is 314321280.
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FAQs on LCM of 771, 728, 735, 896
1. What is the LCM of 771, 728, 735, 896?
Answer: LCM of 771, 728, 735, 896 is 314321280.
2. How to calculate the LCM of 771, 728, 735, 896?
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 771, 728, 735, 896.
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}.