LCM of 221, 811, 965, 986, 783
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 811, 965, 986, 783 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 221, 811, 965, 986, 783. So, keep reading to learn more.
Given numbers are 221,811,965,986,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,811,965,986,783 is 270852094890.
Find LCM of 221,811,965,986,783 with Prime Factorization
| 17 | 221, 811, 965, 986, 783 |
| 29 | 13, 811, 965, 58, 783 |
| 13, 811, 965, 2, 27 |
Multiply the prime numbers at the bottom and the left side.
17 x 29 x 13 x 811 x 965 x 2 x 27 = 270852094890
Therefore, the lowest common multiple of 221,811,965,986,783 is 270852094890.
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.
221 x 811 x 965 x 986 x 783 = 133530082780770
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.
221 : 1, 13, 17, 221
811 : 1, 811
965 : 1, 5, 193, 965
986 : 1, 2, 17, 29, 34, 58, 493, 986
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,811,965,986,783, is 1.
Now, the common factors can be found like this.
221:13x 17
811:811
965:5x 193
986:2x 17x 29
783:3x 3x 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.
17x 29 = 493
Therefore, the value for common factors is 493.
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 = 133530082780770/(1x493)
LCM = 133530082780770/493
LCM = 270852094890
Thus, we can understand that the LCM of 221,811,965,986,783 is 270852094890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 811, 965, 986, 783
1. What is the LCM of 221, 811, 965, 986, 783?
Answer: LCM of 221, 811, 965, 986, 783 is 270852094890.
2. How to calculate the LCM of 221, 811, 965, 986, 783?
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 221, 811, 965, 986, 783.
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}.