LCM of 798, 526, 174, 774, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 526, 174, 774, 385 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 798, 526, 174, 774, 385. So, keep reading to learn more.
Given numbers are 798,526,174,774,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,526,174,774,385 is 43182624870.
Find LCM of 798,526,174,774,385 with Prime Factorization
| 2 | 798, 526, 174, 774, 385 |
| 3 | 399, 263, 87, 387, 385 |
| 7 | 133, 263, 29, 129, 385 |
| 19, 263, 29, 129, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 263 x 29 x 129 x 55 = 43182624870
Therefore, the lowest common multiple of 798,526,174,774,385 is 43182624870.
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.
798 x 526 x 174 x 774 x 385 = 21764042934480
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
526 : 1, 2, 263, 526
174 : 1, 2, 3, 6, 29, 58, 87, 174
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,526,174,774,385, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
526:2x 263
174:2x 3x 29
774:2x 3x 3x 43
385:5x 7x 11
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 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 21764042934480/(1x504)
LCM = 21764042934480/504
LCM = 43182624870
Thus, we can understand that the LCM of 798,526,174,774,385 is 43182624870.
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FAQs on LCM of 798, 526, 174, 774, 385
1. What is the LCM of 798, 526, 174, 774, 385?
Answer: LCM of 798, 526, 174, 774, 385 is 43182624870.
2. How to calculate the LCM of 798, 526, 174, 774, 385?
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 798, 526, 174, 774, 385.
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}.