LCM of 820, 382, 130, 387, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 382, 130, 387, 689 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 820, 382, 130, 387, 689. So, keep reading to learn more.
Given numbers are 820,382,130,387,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,382,130,387,689 is 41761626660.
Find LCM of 820,382,130,387,689 with Prime Factorization
| 2 | 820, 382, 130, 387, 689 |
| 5 | 410, 191, 65, 387, 689 |
| 13 | 82, 191, 13, 387, 689 |
| 82, 191, 1, 387, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 82 x 191 x 1 x 387 x 53 = 41761626660
Therefore, the lowest common multiple of 820,382,130,387,689 is 41761626660.
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.
820 x 382 x 130 x 387 x 689 = 10858022931600
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
382 : 1, 2, 191, 382
130 : 1, 2, 5, 10, 13, 26, 65, 130
387 : 1, 3, 9, 43, 129, 387
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,382,130,387,689, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
382:2x 191
130:2x 5x 13
387:3x 3x 43
689:13x 53
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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 10858022931600/(1x260)
LCM = 10858022931600/260
LCM = 41761626660
Thus, we can understand that the LCM of 820,382,130,387,689 is 41761626660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 820, 382, 130, 387, 689
1. What is the LCM of 820, 382, 130, 387, 689?
Answer: LCM of 820, 382, 130, 387, 689 is 41761626660.
2. How to calculate the LCM of 820, 382, 130, 387, 689?
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 820, 382, 130, 387, 689.
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}.