LCM of 941, 788, 589, 864, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 788, 589, 864, 260 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 941, 788, 589, 864, 260. So, keep reading to learn more.
Given numbers are 941,788,589,864,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,788,589,864,260 is 6131944896480.
Find LCM of 941,788,589,864,260 with Prime Factorization
| 2 | 941, 788, 589, 864, 260 |
| 2 | 941, 394, 589, 432, 130 |
| 941, 197, 589, 216, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 941 x 197 x 589 x 216 x 65 = 6131944896480
Therefore, the lowest common multiple of 941,788,589,864,260 is 6131944896480.
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.
941 x 788 x 589 x 864 x 260 = 98111118343680
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.
941 : 1, 941
788 : 1, 2, 4, 197, 394, 788
589 : 1, 19, 31, 589
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,788,589,864,260, is 1.
Now, the common factors can be found like this.
941:941
788:2x 2x 197
589:19x 31
864:2x 2x 2x 2x 2x 3x 3x 3
260:2x 2x 5x 13
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 2 = 16
Therefore, the value for common factors is 16.
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 = 98111118343680/(1x16)
LCM = 98111118343680/16
LCM = 6131944896480
Thus, we can understand that the LCM of 941,788,589,864,260 is 6131944896480.
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FAQs on LCM of 941, 788, 589, 864, 260
1. What is the LCM of 941, 788, 589, 864, 260?
Answer: LCM of 941, 788, 589, 864, 260 is 6131944896480.
2. How to calculate the LCM of 941, 788, 589, 864, 260?
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 941, 788, 589, 864, 260.
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}.