LCM of 261, 384, 542, 944, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 384, 542, 944, 320 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 261, 384, 542, 944, 320. So, keep reading to learn more.
Given numbers are 261,384,542,944,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,384,542,944,320 is 2670802560.
Find LCM of 261,384,542,944,320 with Prime Factorization
| 2 | 261, 384, 542, 944, 320 |
| 2 | 261, 192, 271, 472, 160 |
| 2 | 261, 96, 271, 236, 80 |
| 2 | 261, 48, 271, 118, 40 |
| 2 | 261, 24, 271, 59, 20 |
| 2 | 261, 12, 271, 59, 10 |
| 3 | 261, 6, 271, 59, 5 |
| 87, 2, 271, 59, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 87 x 2 x 271 x 59 x 5 = 2670802560
Therefore, the lowest common multiple of 261,384,542,944,320 is 2670802560.
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.
261 x 384 x 542 x 944 x 320 = 16409410928640
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.
261 : 1, 3, 9, 29, 87, 261
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
542 : 1, 2, 271, 542
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,384,542,944,320, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
384:2x 2x 2x 2x 2x 2x 2x 3
542:2x 271
944:2x 2x 2x 2x 59
320:2x 2x 2x 2x 2x 2x 5
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 2x 2x 2x 2x 2x 2x 2x 2x 3 = 6144
Therefore, the value for common factors is 6144.
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 = 16409410928640/(1x6144)
LCM = 16409410928640/6144
LCM = 2670802560
Thus, we can understand that the LCM of 261,384,542,944,320 is 2670802560.
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FAQs on LCM of 261, 384, 542, 944, 320
1. What is the LCM of 261, 384, 542, 944, 320?
Answer: LCM of 261, 384, 542, 944, 320 is 2670802560.
2. How to calculate the LCM of 261, 384, 542, 944, 320?
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 261, 384, 542, 944, 320.
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}.