LCM of 783, 986, 323, 867, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 783, 986, 323, 867, 380 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 783, 986, 323, 867, 380. So, keep reading to learn more.
Given numbers are 783,986,323,867,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,986,323,867,380 is 85989060.
Find LCM of 783,986,323,867,380 with Prime Factorization
| 2 | 783, 986, 323, 867, 380 |
| 3 | 783, 493, 323, 867, 190 |
| 17 | 261, 493, 323, 289, 190 |
| 19 | 261, 29, 19, 17, 190 |
| 29 | 261, 29, 1, 17, 10 |
| 9, 1, 1, 17, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 29 x 9 x 1 x 1 x 17 x 10 = 85989060
Therefore, the lowest common multiple of 783,986,323,867,380 is 85989060.
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.
783 x 986 x 323 x 867 x 380 = 82156871552040
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
986 : 1, 2, 17, 29, 34, 58, 493, 986
323 : 1, 17, 19, 323
867 : 1, 3, 17, 51, 289, 867
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,986,323,867,380, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
986:2x 17x 29
323:17x 19
867:3x 17x 17
380:2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 17x 19x 29 = 955434
Therefore, the value for common factors is 955434.
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 = 82156871552040/(1x955434)
LCM = 82156871552040/955434
LCM = 85989060
Thus, we can understand that the LCM of 783,986,323,867,380 is 85989060.
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FAQs on LCM of 783, 986, 323, 867, 380
1. What is the LCM of 783, 986, 323, 867, 380?
Answer: LCM of 783, 986, 323, 867, 380 is 85989060.
2. How to calculate the LCM of 783, 986, 323, 867, 380?
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 783, 986, 323, 867, 380.
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}.