LCM of 843, 720, 601, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 720, 601, 348 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 843, 720, 601, 348. So, keep reading to learn more.
Given numbers are 843,720,601,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,720,601,348 is 3526235280.
Find LCM of 843,720,601,348 with Prime Factorization
| 2 | 843, 720, 601, 348 |
| 2 | 843, 360, 601, 174 |
| 3 | 843, 180, 601, 87 |
| 281, 60, 601, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 281 x 60 x 601 x 29 = 3526235280
Therefore, the lowest common multiple of 843,720,601,348 is 3526235280.
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.
843 x 720 x 601 x 348 = 126944470080
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.
843 : 1, 3, 281, 843
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
601 : 1, 601
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,720,601,348, is 1.
Now, the common factors can be found like this.
843:3x 281
720:2x 2x 2x 2x 3x 3x 5
601:601
348:2x 2x 3x 29
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 126944470080/(1x36)
LCM = 126944470080/36
LCM = 3526235280
Thus, we can understand that the LCM of 843,720,601,348 is 3526235280.
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FAQs on LCM of 843, 720, 601, 348
1. What is the LCM of 843, 720, 601, 348?
Answer: LCM of 843, 720, 601, 348 is 3526235280.
2. How to calculate the LCM of 843, 720, 601, 348?
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 843, 720, 601, 348.
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}.