LCM of 796, 391, 459, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 391, 459, 378 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 796, 391, 459, 378. So, keep reading to learn more.
Given numbers are 796,391,459,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,391,459,378 is 58823604.
Find LCM of 796,391,459,378 with Prime Factorization
| 2 | 796, 391, 459, 378 |
| 3 | 398, 391, 459, 189 |
| 3 | 398, 391, 153, 63 |
| 3 | 398, 391, 51, 21 |
| 17 | 398, 391, 17, 7 |
| 398, 23, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 398 x 23 x 1 x 7 = 58823604
Therefore, the lowest common multiple of 796,391,459,378 is 58823604.
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.
796 x 391 x 459 x 378 = 54000068472
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.
796 : 1, 2, 4, 199, 398, 796
391 : 1, 17, 23, 391
459 : 1, 3, 9, 17, 27, 51, 153, 459
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,391,459,378, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
391:17x 23
459:3x 3x 3x 17
378:2x 3x 3x 3x 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 3x 3x 3x 17 = 918
Therefore, the value for common factors is 918.
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 = 54000068472/(1x918)
LCM = 54000068472/918
LCM = 58823604
Thus, we can understand that the LCM of 796,391,459,378 is 58823604.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 796, 391, 459, 378
1. What is the LCM of 796, 391, 459, 378?
Answer: LCM of 796, 391, 459, 378 is 58823604.
2. How to calculate the LCM of 796, 391, 459, 378?
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 796, 391, 459, 378.
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}.