LCM of 775, 408, 614, 918, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 408, 614, 918, 856 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 775, 408, 614, 918, 856. So, keep reading to learn more.
Given numbers are 775,408,614,918,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,408,614,918,856 is 93481684200.
Find LCM of 775,408,614,918,856 with Prime Factorization
| 2 | 775, 408, 614, 918, 856 |
| 2 | 775, 204, 307, 459, 428 |
| 2 | 775, 102, 307, 459, 214 |
| 3 | 775, 51, 307, 459, 107 |
| 17 | 775, 17, 307, 153, 107 |
| 775, 1, 307, 9, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 775 x 1 x 307 x 9 x 107 = 93481684200
Therefore, the lowest common multiple of 775,408,614,918,856 is 93481684200.
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.
775 x 408 x 614 x 918 x 856 = 152562108614400
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.
775 : 1, 5, 25, 31, 155, 775
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
614 : 1, 2, 307, 614
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
856 : 1, 2, 4, 8, 107, 214, 428, 856
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,408,614,918,856, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
408:2x 2x 2x 3x 17
614:2x 307
918:2x 3x 3x 3x 17
856:2x 2x 2x 107
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 17 = 1632
Therefore, the value for common factors is 1632.
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 = 152562108614400/(1x1632)
LCM = 152562108614400/1632
LCM = 93481684200
Thus, we can understand that the LCM of 775,408,614,918,856 is 93481684200.
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FAQs on LCM of 775, 408, 614, 918, 856
1. What is the LCM of 775, 408, 614, 918, 856?
Answer: LCM of 775, 408, 614, 918, 856 is 93481684200.
2. How to calculate the LCM of 775, 408, 614, 918, 856?
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 775, 408, 614, 918, 856.
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}.