LCM of 643, 448, 836, 741, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 643, 448, 836, 741, 959 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 643, 448, 836, 741, 959. So, keep reading to learn more.
Given numbers are 643,448,836,741,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,448,836,741,959 is 321677323968.
Find LCM of 643,448,836,741,959 with Prime Factorization
| 2 | 643, 448, 836, 741, 959 |
| 2 | 643, 224, 418, 741, 959 |
| 7 | 643, 112, 209, 741, 959 |
| 19 | 643, 16, 209, 741, 137 |
| 643, 16, 11, 39, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 643 x 16 x 11 x 39 x 137 = 321677323968
Therefore, the lowest common multiple of 643,448,836,741,959 is 321677323968.
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.
643 x 448 x 836 x 741 x 959 = 171132336350976
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.
643 : 1, 643
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
741 : 1, 3, 13, 19, 39, 57, 247, 741
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,448,836,741,959, is 1.
Now, the common factors can be found like this.
643:643
448:2x 2x 2x 2x 2x 2x 7
836:2x 2x 11x 19
741:3x 13x 19
959:7x 137
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 7x 19 = 532
Therefore, the value for common factors is 532.
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 = 171132336350976/(1x532)
LCM = 171132336350976/532
LCM = 321677323968
Thus, we can understand that the LCM of 643,448,836,741,959 is 321677323968.
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FAQs on LCM of 643, 448, 836, 741, 959
1. What is the LCM of 643, 448, 836, 741, 959?
Answer: LCM of 643, 448, 836, 741, 959 is 321677323968.
2. How to calculate the LCM of 643, 448, 836, 741, 959?
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 643, 448, 836, 741, 959.
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}.