LCM of 879, 756, 762, 256, 482
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 756, 762, 256, 482 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 879, 756, 762, 256, 482. So, keep reading to learn more.
Given numbers are 879,756,762,256,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,756,762,256,482 is 433900502784.
Find LCM of 879,756,762,256,482 with Prime Factorization
| 2 | 879, 756, 762, 256, 482 |
| 2 | 879, 378, 381, 128, 241 |
| 3 | 879, 189, 381, 64, 241 |
| 293, 63, 127, 64, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 293 x 63 x 127 x 64 x 241 = 433900502784
Therefore, the lowest common multiple of 879,756,762,256,482 is 433900502784.
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.
879 x 756 x 762 x 256 x 482 = 62481672400896
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.
879 : 1, 3, 293, 879
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
762 : 1, 2, 3, 6, 127, 254, 381, 762
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
482 : 1, 2, 241, 482
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,756,762,256,482, is 1.
Now, the common factors can be found like this.
879:3x 293
756:2x 2x 3x 3x 3x 7
762:2x 3x 127
256:2x 2x 2x 2x 2x 2x 2x 2
482:2x 241
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 62481672400896/(1x144)
LCM = 62481672400896/144
LCM = 433900502784
Thus, we can understand that the LCM of 879,756,762,256,482 is 433900502784.
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FAQs on LCM of 879, 756, 762, 256, 482
1. What is the LCM of 879, 756, 762, 256, 482?
Answer: LCM of 879, 756, 762, 256, 482 is 433900502784.
2. How to calculate the LCM of 879, 756, 762, 256, 482?
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 879, 756, 762, 256, 482.
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}.