LCM of 107, 604, 856, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 604, 856, 774 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 107, 604, 856, 774. So, keep reading to learn more.
Given numbers are 107,604,856,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,604,856,774 is 50022072.
Find LCM of 107,604,856,774 with Prime Factorization
| 2 | 107, 604, 856, 774 |
| 2 | 107, 302, 428, 387 |
| 107 | 107, 151, 214, 387 |
| 1, 151, 2, 387 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 1 x 151 x 2 x 387 = 50022072
Therefore, the lowest common multiple of 107,604,856,774 is 50022072.
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.
107 x 604 x 856 x 774 = 42818893632
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.
107 : 1, 107
604 : 1, 2, 4, 151, 302, 604
856 : 1, 2, 4, 8, 107, 214, 428, 856
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,604,856,774, is 1.
Now, the common factors can be found like this.
107:107
604:2x 2x 151
856:2x 2x 2x 107
774:2x 3x 3x 43
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 107 = 856
Therefore, the value for common factors is 856.
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 = 42818893632/(1x856)
LCM = 42818893632/856
LCM = 50022072
Thus, we can understand that the LCM of 107,604,856,774 is 50022072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 107, 604, 856, 774
1. What is the LCM of 107, 604, 856, 774?
Answer: LCM of 107, 604, 856, 774 is 50022072.
2. How to calculate the LCM of 107, 604, 856, 774?
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 107, 604, 856, 774.
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}.