LCM of 836, 874, 359, 718, 997
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 874, 359, 718, 997 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 836, 874, 359, 718, 997. So, keep reading to learn more.
Given numbers are 836,874,359,718,997
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,874,359,718,997 is 6882143444.
Find LCM of 836,874,359,718,997 with Prime Factorization
| 2 | 836, 874, 359, 718, 997 |
| 19 | 418, 437, 359, 359, 997 |
| 359 | 22, 23, 359, 359, 997 |
| 22, 23, 1, 1, 997 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 359 x 22 x 23 x 1 x 1 x 997 = 6882143444
Therefore, the lowest common multiple of 836,874,359,718,997 is 6882143444.
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.
836 x 874 x 359 x 718 x 997 = 187772401726096
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
874 : 1, 2, 19, 23, 38, 46, 437, 874
359 : 1, 359
718 : 1, 2, 359, 718
997 : 1, 997
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,874,359,718,997, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
874:2x 19x 23
359:359
718:2x 359
997:997
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 19x 359 = 27284
Therefore, the value for common factors is 27284.
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 = 187772401726096/(1x27284)
LCM = 187772401726096/27284
LCM = 6882143444
Thus, we can understand that the LCM of 836,874,359,718,997 is 6882143444.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 836, 874, 359, 718, 997
1. What is the LCM of 836, 874, 359, 718, 997?
Answer: LCM of 836, 874, 359, 718, 997 is 6882143444.
2. How to calculate the LCM of 836, 874, 359, 718, 997?
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 836, 874, 359, 718, 997.
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}.