LCM of 613, 780, 998, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 613, 780, 998, 867 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 613, 780, 998, 867. So, keep reading to learn more.
Given numbers are 613,780,998,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 613,780,998,867 is 68953047540.
Find LCM of 613,780,998,867 with Prime Factorization
| 2 | 613, 780, 998, 867 |
| 3 | 613, 390, 499, 867 |
| 613, 130, 499, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 613 x 130 x 499 x 289 = 68953047540
Therefore, the lowest common multiple of 613,780,998,867 is 68953047540.
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.
613 x 780 x 998 x 867 = 413718285240
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.
613 : 1, 613
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
998 : 1, 2, 499, 998
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,780,998,867, is 1.
Now, the common factors can be found like this.
613:613
780:2x 2x 3x 5x 13
998:2x 499
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 413718285240/(1x6)
LCM = 413718285240/6
LCM = 68953047540
Thus, we can understand that the LCM of 613,780,998,867 is 68953047540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 613, 780, 998, 867
1. What is the LCM of 613, 780, 998, 867?
Answer: LCM of 613, 780, 998, 867 is 68953047540.
2. How to calculate the LCM of 613, 780, 998, 867?
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 613, 780, 998, 867.
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}.